César Torres Ledesma

Possui graduação em Bachiller en Ciencias Físicas y Matemáticas pela Universidad Nacional de Trujillo(2008) e doutorado em Ciencias de la Ingeniería c/m Modelación Matemátic pela Universidad de Chile - Centro de Mod. Matematico(2013). Atualmente é Profesor Auxiliar da Universidad Nacional de Trujillo. Tem experiência na área de Matemática, com ênfase em Análise.

Informações coletadas do Lattes em 14/06/2025

Acadêmico

Formação acadêmica

Doutorado em Ciencias de la Ingeniería c/m Modelación Matemátic

2009 - 2013

Universidad de Chile - Centro de Mod. Matematico
Título: Non linear Elliptic Equations with Non local Regional Operators
Orientador: Patricio Felmer
Bolsista do(a): .

Graduação em Bachiller en Ciencias Físicas y Matemáticas

2002 - 2008

Universidad Nacional de Trujillo
Título: Existecia y Unicidad de la Solución de Ecuaciones Diferenciales Ordinarias de Orden Fraccionario
Orientador: Amado Méndez Cruz

Pós-doutorado

2017

Pós-Doutorado. , Universidade Federal de Campina Grande, UFCG, Brasil. , Bolsista do(a): Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, CAPES, Brasil. , Grande área: Ciências Exatas e da Terra

Idiomas

Bandeira representando o idioma Inglês

Compreende Razoavelmente, Fala Razoavelmente, Lê Bem, Escreve Razoavelmente.

Bandeira representando o idioma Português

Compreende Razoavelmente, Fala Pouco, Lê Razoavelmente, Escreve Pouco.

Áreas de atuação

Grande área: Ciências Exatas e da Terra / Área: Matemática / Subárea: Análise/Especialidade: Equações Diferenciais Parciais.

Organização de eventos

TORRES LEDESMA CÉSAR E. ; H. CUTI . I SEMINARIO TALLER INTERNACIONAL: INTRODUCCIÓN AL ANÁLISIS NO LINEAL Y SUS APLICACIONES. 2017. (Congresso).

TORRES LEDESMA, CÉSAR ; MORENO, R. ; JOSE, D. L. . Conferencias Académicas organizado por el Área Científica Didáctica de la Matemática. 2015. (Exposição).

C, J. P. ; ARTEAGA B, D. ; LARA R., L. ; CARRANZA, A. R. ; LEDESMA, CÉSAR E. TORRES . VIII Fast Workshop on Applied and Computational Mathematics. 2015. (Congresso).

Participação em eventos

II SEMINARIO TALLER INTERNACIONAL DE MÉTODOS GLOBALIZADOS DE LA MATEMÁTICA: PROBLEMAS DE INVESTIGACIÓN Y DE ENSEÑANZA. Minicurso: Ecuación de Schrödinger no lineal con difusión no local regional: concentración de soluciones. 2017. (Congresso).

Escuela CAPDE de Ecuaciones Diferenciales Parciales no Lineales. 2016. (Seminário).

IX Fast workshop on applied and computational mathematics. Radial symmetry for ground state for a nonlinear Schrödinger equation with fractional Laplacian. 2016. (Congresso).

Second Workshop on Evolution Equations in Valdivia 2016. 2016. (Congresso).

Seminario Integrado de Matemática, Física, Estadística e Informática.Existencia y Concentración de Soluciones para una Ecuación de Schrödinger no Lineal Fraccionaria con el steep potencial weel. 2016. (Seminário).

VIII Fast workshop on applied and computational mathematics. Existence of solution for a class of fractional Hamiltonian systems. 2015. (Congresso).

Jornadas de investigación 2014-I.Ecuaciones elípticas no lineales con operadores regionales no locales. 2014. (Seminário).

VII CIMAC. Ecuación de Schrödinger No Lineal con Difusión Regional No Local. 2014. (Congresso).

Área Cientifica Didáctica de la Matemática.Ecuaciones diferenciales fraccionarias: Métodos Variacionales. 2013. (Seminário).

LXXXI ENCUENTRO ANUAL SOCIEDAD DE MATEMATICA DE CHILE. Radial symmetry for ground state for a nonlinear Schrödinger equation with fractional Laplacian. 2012. (Congresso).

Orientou

HERNAN CUTI

ASYMPTOTIC PROBLEM FOR A NONLINEAR SCHRODINGUER EQUATION WITH NONLOCAL REGIONAL OPERADOR; Início: 2015; Tese (Doutorado em DOCTORADO EN MATEMATICAS) - Universidad Nacional de Trujillo; (Orientador);

MANUEL MONTALVO

EXISTENCE WEAK SOLUTIONS FOR THE FRACTIONAL FORCED PENDULUM; Início: 2015; Tese (Doutorado em DOCTORADO EN MATEMATICAS) - Universidad Nacional de Trujillo; (Orientador);

Produções bibliográficas

  • T. LEDESMA, CÉSAR ; V. BACA, JOSIAS ; SOUSA, J. VANTERLER DA C. . Properties of fractional operators with fixed memory length. MATHEMATICAL METHODS IN THE APPLIED SCIENCES , v. 45, p. 49-76, 2022.

  • ALVES, CLAUDIANOR O. ; BARROS, LUCIANO M. ; TORRES LEDESMA, CÉSAR E. . Existence of solution for a class of variational inequality in whole R N with critical growth. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , v. 494, p. 124672, 2021.

  • LEDESMA, CÉSAR E. TORRES ; BONILLA, MANUEL C. MONTALVO . Fractional Sobolev space with Riemann-Liouville fractional derivative and application to a fractional concave-convex problem. Advances in Operator Theory , v. 6, p. 65, 2021.

  • LEDESMA, CÉSAR T. ; GUTIÉRREZ, HERNÁN C. . Ground state solutions for a class of nonlocal regional Schrödinger equation with nonperiodic potentials. MATHEMATICAL METHODS IN THE APPLIED SCIENCES , v. 44, p. 4000-4017, 2021.

  • ALVES, CLAUDIANOR O. ; LEDESMA, CÉSAR T. . Multiplicity of solutions for a class of fractional elliptic problems with critical exponential growth and nonlocal Neumann condition. Communications on Pure & Applied Analysis , v. 20, p. 2065, 2021.

  • ALVES, CLAUDIANOR O. ; AMBROSIO, VINCENZO ; LEDESMA, CÉSAR E. TORRES . An Existence Result for a Class of Magnetic Problems in Exterior Domains. Milan Journal of Mathematics , v. 89, p. 523-550, 2021.

  • ALVES, CLAUDIANOR O. ; MOLICA BISCI, GIOVANNI ; TORRES LEDESMA, CÉSAR E. . Existence of solutions for a class of fractional elliptic problems on exterior domains. JOURNAL OF DIFFERENTIAL EQUATIONS , v. 268, p. 7183-7219, 2020.

  • ALVES, CLAUDIANOR O. ; TORRES LEDESMA, CÉSAR E. . Fractional elliptic problem in exterior domains with nonlocal Neumann condition. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS , v. 195, p. 111732, 2020.

  • TORRES, CÉSAR ; PICHARDO, OLIVERIO . Multiplicity of Solutions for a Class of Perturbed Fractional Hamiltonian Systems. Bulletin of the Malaysian Mathematical Sciences Society , v. 43, p. 3897-3922, 2020.

  • ALVES, CLAUDIANOR O. ; TORRES LEDESMA, CÉSAR E. . EXISTENCE AND CONCENTRATION OF SOLUTION FOR A NON-LOCAL REGIONAL SCHRÖDINGER EQUATION WITH COMPETING POTENTIALS. GLASGOW MATHEMATICAL JOURNAL , v. 61, p. 441-460, 2019.

  • TORRES LEDESMA, CÉSAR E. . Existence of solution for a general fractional advection-dispersion equation. Analysis and Mathematical Physics , v. 9, p. 1303-1318, 2019.

  • ALVES, CLAUDIANOR O. ; AMBROSIO, VINCENZO ; TORRES LEDESMA, CÉSAR E. . Existence of heteroclinic solutions for a class of problems involving the fractional Laplacian. Analysis and Applications , v. 17, p. 425-451, 2019.

  • LEDESMA, CÉSAR E TORRES . Existence and concentration of solution for a class of fractional Hamiltonian systems with subquadratic potential. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES , v. 128, p. 50, 2018.

  • ZHANG, ZIHENG ; LEDESMA, TORRES ; YUANC, RONG . Homoclinic solutions for fractional Hamiltonian systems with indefinite conditions. Filomat , v. 32, p. 2403-2419, 2018.

  • TORRES, CÉSAR ; CUTI, HERNÁN ; MONTALVO, MANUEL ; PICHARDO, OLIVERIO . Multiplicity of solutions for a class of nonlocal regional elliptic equations. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , v. 468, p. 87-102, 2018.

  • ZHANG, ZIHENG ; TORRES LEDESMA, CÉSAR E. . Solutions for a class of fractional Hamiltonian systems with a parameter. Journal of Applied Mathematics and Computing. International Journal , v. 54, p. 451-468, 2017.

  • LEDESMA, CÉSAR E. TORRES . Existence and symmetry result for fractional $p$-Laplacian in $mathbb{R}^{n}$. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS , v. 16, p. 99-113, 2017.

  • TORRES, CÉSAR . Tempered fractional differential equation: variational approach. MATHEMATICAL METHODS IN THE APPLIED SCIENCES , v. 40, p. 4962-4973, 2017.

  • ALVES, CLAUDIANOR O. ; TORRES LEDESMA, CÉSAR E. . Existence and multiplicity of solutions for a non-linear Schrödinger equation with non-local regional diffusion. JOURNAL OF MATHEMATICAL PHYSICS , v. 58, p. 111507, 2017.

  • TORRES LEDESMA, CÉSAR E. ; NYAMORADI, NEMAT . Impulsive fractional boundary value problem with p-Laplace operator. Journal of Applied Mathematics and Computing. International Journal , v. 55, p. 257-278, 2017.

  • TORRES, CÉSAR ; ZHANG, ZIHENG . Concentration of ground state solutions for fractional Hamiltonian systems. Topological Methods in Nonlinear Analysis , v. 50, p. 623-642, 2017.

  • LEDESMA, CÉSAR E. TORRES . Existence and concentration of solutions for a non-linear fractional Schrödinger equation with steep potential well. Communications on Pure and Applied Analysis , v. 15, p. 535-547, 2016.

  • TORRES LEDESMA, CÉSAR . Existence and symmetric result for Liouville-Weyl fractional nonlinear Schrödinger equation. Communications in Nonlinear Science & Numerical Simulation , v. 27, p. 314-327, 2015.

  • TORRES, CÉSAR . Ground state solution for differential equations with left and right fractional-derivatives. Mathematical Methods in the Applied Sciences , v. 38, p. 5063-5073, 2015.

  • LEDESMA, C. T. ; CRUZ, M. A. . MULTIPLICITY OF SOLUTIONS FOR FRACTIONAL HAMILTONIAN SYSTEMS WITH LIOUVILLE-WEYL FRACTIONAL DERIVATIVES. Fractional Calculus and Applied Analysis , v. 18, p. 875-890, 2015.

  • FELMER, PATRICIO ; TORRES, CÉSAR . Non-linear Schrödinger equation with non-local regional diffusion. Calculus of Variations and Partial Differential Equations , v. 54, p. 75-98, 2015.

  • TORRES LEDESMA, CÉSAR . Boundary value problem with fractional p-Laplacian operator. Advances in Nonlinear Analysis , v. 5, p. 133-146, 2015.

  • LEDESMA, C. T. . Existence of solution for fractional Langevin equation: variational approach. Electronic Journal on the Qualitative Theory of Differential Equations , v. 2014, p. 1-14, 2014.

  • FELMER, PATRICIO ; TORRES, CÉSAR . Radial symmetry of ground states for a regional fractional Nonlinear Schrödinger Equation. Communications on Pure and Applied Analysis , v. 13, p. 2395-2406, 2014.

  • LEDESMA, C. T. . EXISTENCE OF SOLUTIONS FOR FRACTIONAL HAMILTONIAN SYSTEMS. Electronic Journal of Differential Equations , v. 2013, p. 1-12, 2013.

  • ALVES, CLAUDIANOR O. ; TORRES, CÉSAR . Una Introducción a las ecuaciones elípticas. 1. ed. Trujillo, Perú: EDUNT, 2017. v. 1. 88p .

  • TORRES LEDESMA, CÉSAR E. . A Critical Nonlinear Elliptic Equation with Nonlocal Regional Diffusion. TAIWANESE JOURNAL OF MATHEMATICS , 2017.

  • TORRES LEDESMA, CÉSAR E. . Multiplicity result for non-homogeneous fractional Schrodinger-Kirchhoff-type equations in ¿n. ADV NONLINEAR ANAL , 2016.

Projetos de pesquisa

  • 2017 - Atual

    Condiciones para la existencia y concentración de solución para un sistema Hamiltoniano fraccionario, Descrição: In this work, we want to improve some previous results for fractional Hamiltonian systems with symmetry positive semi-definite matrix and show the existence and concentration phenomena. , Situação: Em andamento; Natureza: Pesquisa. , Integrantes: César Torres Ledesma - Coordenador / Mendez Amado Cruz - Integrante.

  • 2011 - 2015

    Problems in nonlinear elliptic equations: fractional laplacians, integral equationsand non-divergence form operators, Situação: Concluído; Natureza: Pesquisa. , Alunos envolvidos: Doutorado: (5) . , Integrantes: César Torres Ledesma - Integrante / FELMER, PATRICIO - Coordenador.

Prêmios

2017

Premio Excelencia Elsevier, Editorial Elsevier.

2017

Honor al Mérito, Universidad Nacional de Trujillo.

2009

Licenciado en Matemáticas, Univerisdad Nacional de Trujillo.

Histórico profissional

Endereço profissional

  • Universidad Nacional de Trujillo. , Av. Juan Pablo II s/n, Trujillo, 3600 - Trujillo, - Peru, Telefone: (0051) 44583170

Experiência profissional

2011 - 2015

Universidad de Chile - Centro de Mod. Matematico

Vínculo: , Enquadramento Funcional:

2014 - Atual

Universidad Nacional de Trujillo

Vínculo: Otros ( especificar), Enquadramento Funcional: Profesor Auxiliar

Atividades

  • 03/2014

    Pesquisa e desenvolvimento, Universidad Nacional de Trujillo.,Linhas de pesquisa