Weak solution for Neumann (p,q)-Laplacian problem on Riemannian manifold

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Abstract

We prove the existence of a nontrivial solution for a nonlinear (p,q)-Laplacian problem with Neumann boundary condition, on a non compact Riemannian manifold. The idea is to reduce the problem in variational form, which means to consider the critical points of the corresponding Euler-Lagrange functional in an Orlicz-Sobolev space.

Keywords

(p,q)-Laplacian operator
Riemannian manifold
Weak solution

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