Mateus Balbino Guimaraes, Rodrigo da Silva Rodrigues
Abstract:
In this article we establish the existence of a nontrivial weak solution
to a class of nonlinear boundary-value problems of Kirchhoff type involving
p-linear and p-superlinear terms and with critical
Caffaearelli-Kohn-Nirenberg exponent.
Submitted October 7, 2015. Published May 3, 2016.
Math Subject Classifications: 35A15, 35B33, 35B25, 35J60.
Key Words: Variational methods; critical exponents; singular perturbations;
Kirchhoff equation; nonlinear elliptic equations.
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Mateus Balbino Guimarães Departamento de Matemática Universidade Federal de São Carlos 13565-905, São Carlos, SP, Brazil email: mateusbalbino@yahoo.com.br |
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Rodrigo da Silva Rodrigues Departamento de Matemática Universidade Federal de São Carlos 13565-905, São Carlos, SP, Brazil email: rodrigo@dm.ufscar.br |
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