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. (C) 2019 Elsevier Inc. All rights reserved.
Nastasi A. (2019). Weak solution for Neumann (p,q)-Laplacian problem on Riemannian manifold. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 479(1), 45-61 [10.1016/j.jmaa.2019.06.015].
Weak solution for Neumann (p,q)-Laplacian problem on Riemannian manifold
Nastasi A.
Primo
2019-11-01
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. (C) 2019 Elsevier Inc. All rights reserved.
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