Infinitely many bounded solutions for the p-Laplacian with nonlinear boundary conditions

IANNIZZOTTO, ANTONIO
2011-01-01

Abstract

By applying a method due to Saint Raymond, we prove the existence of infinitely many weak solutions for a quasilinear elliptic partial differential equation, involving the p-Laplacian operator, coupled with a nonlinear boundary condition. Our main assumption is a suitable oscillatory behaviour of the nonlinearity either at infinity or at zero.
2011
p-Laplacian, Nonlinear boundary conditions, Infinitely many solutions, Critical points
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