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

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

2007-12-13

arxiv.org/abs/0712.2185v1

Annales de l'Institut Fourier (2008) vol. 58

Mathematics

Analysis of PDEs

Scientific paper

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.

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