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Weak solution for Neumann (p,q)-Laplacian problem on Riemannian manifold
Antonella Nastasisubject
Pure mathematicsApplied MathematicsWeak solution010102 general mathematicsRiemannian manifoldSpace (mathematics)01 natural sciences010101 applied mathematicsNonlinear systemSettore MAT/05 - Analisi MatematicaNeumann boundary condition(p q)-Laplacian operator Riemannian manifold Weak solution0101 mathematicsLaplace operatorAnalysisMathematicsdescription
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.
year | journal | country | edition | language |
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2019-11-01 |