Neumann problems associated to nonhomogeneous differential operators in Orlicz--Sobolev spaces

Preprint

13 December 2007

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.0712.2185

Abstract

We study a nonlinear Neumann boundary value problem associated to a nonhomogeneous differential operator. Taking into account the competition between the nonlinearity and the bifurcation parameter, we establish sufficient conditions for the existence of nontrivial solutions in a related Orlicz--Sobolev space.

Keywords

NONHOMOGENEOUS DIFFERENTIAL OPERATOR
ASSOCIATED TO NONHOMOGENEOUS
BOUNDARY VALUE PROBLEM
NONTRIVIAL SOLUTIONS
PROBLEMS ASSOCIATED
SPACES WE STUDY
BIFURCATION
NEUMANN

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Version 1, 2007-12-13, ArXiv

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