Electron. J. Diff. Equ., Vol. 2016 (2016), No. 113, pp. 1-14.

Existence of solutions for Kirchhoff equations involving p-linear and p-superlinear therms and with critical growth

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
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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