Existence and multiplicity of solutions to a class of elliptic problems involving operators with variable exponent

Submitted by Aelson Maciera (aelsoncm@terra.com.br) on 2017-06-05T20:04:17Z No. of bitstreams: 1 TeseEJH.pdf: 21600349 bytes, checksum: 9be6866d2a15e1ea7aa6325d99e7fa4c (MD5) === Approved for entry into archive by Ronildo Prado (ronisp@ufscar.br) on 2017-06-06T13:12:02Z (GMT) No. of bitstreams: 1...

Full description

Bibliographic Details
Main Author: Juárez Hurtado, Elard
Other Authors: Rodrigues, Rodrigo da Silva
Language:English
Published: Universidade Federal de São Carlos 2017
Subjects:
Online Access:https://repositorio.ufscar.br/handle/ufscar/8838
Description
Summary:Submitted by Aelson Maciera (aelsoncm@terra.com.br) on 2017-06-05T20:04:17Z No. of bitstreams: 1 TeseEJH.pdf: 21600349 bytes, checksum: 9be6866d2a15e1ea7aa6325d99e7fa4c (MD5) === Approved for entry into archive by Ronildo Prado (ronisp@ufscar.br) on 2017-06-06T13:12:02Z (GMT) No. of bitstreams: 1 TeseEJH.pdf: 21600349 bytes, checksum: 9be6866d2a15e1ea7aa6325d99e7fa4c (MD5) === Approved for entry into archive by Ronildo Prado (ronisp@ufscar.br) on 2017-06-06T13:12:09Z (GMT) No. of bitstreams: 1 TeseEJH.pdf: 21600349 bytes, checksum: 9be6866d2a15e1ea7aa6325d99e7fa4c (MD5) === Made available in DSpace on 2017-06-06T13:20:52Z (GMT). No. of bitstreams: 1 TeseEJH.pdf: 21600349 bytes, checksum: 9be6866d2a15e1ea7aa6325d99e7fa4c (MD5) Previous issue date: 2016-12-05 === Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) === We study the existence and multiplicity of nontrivial solutions for two classes of elliptic problems. The first problem covers a general class of operators with variables exponents where the nonlinearitv has subcritical growth. The second problem is a nonlocal elliptic problem where the nonlinearitv has critical growth. ... continua === Neste trabalho estudamos a existência e multiplicidade de soluções não triviais para duas classes de problemas elípticos. O primeiro problema elíptico que estudamos abrange uma classe geral de operadores com expoentes variáveis onde a não linearidade possui crescimento subcrítico. O segundo problema trata de uma equação não local envolvendo uma ampla classe de operadores onde a não linearidade possui crescimento sublinear/superlinear, mais um termo com crescimento crítico. ... continua