Search results for "P-Laplacian-like operator"

showing 2 items of 2 documents

A model of capillary phenomena in RN with subcritical growth

2020

This paper deals with the nonlinear Dirichlet problem of capillary phenomena involving an equation driven by the p-Laplacian-like di¤erential operator in RN. We prove the existence of at least one nontrivial nonnegative weak solution, when the reaction term satisfies a sub-critical growth condition and the potential term has certain regularities. We apply the energy functional method and weaker compactness conditions.

Capillary phenomenaDirichlet boundary value problemSettore MAT/05 - Analisi MatematicaCapillary actionGeneral MathematicsSub criticalMechanicsSobolev spaceP-Laplacian-like operatorMathematicsRendiconti Lincei - Matematica e Applicazioni
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An elliptic equation on n-dimensional manifolds

2020

We consider an elliptic equation driven by a p-Laplacian-like operator, on an n-dimensional Riemannian manifold. The growth condition on the right-hand side of the equation depends on the geometry of the manifold. We produce a nontrivial solution by using a Palais–Smale compactness condition and a mountain pass geometry.

Numerical AnalysisPure mathematicsN dimensionalApplied MathematicsOperator (physics)p-Laplacian-like operator010102 general mathematicsIsocapacitary inequalityRiemannian manifoldSobolev space01 natural sciences010101 applied mathematicsSobolev spaceComputational MathematicsElliptic curvemountain pass geometrySettore MAT/05 - Analisi MatematicaMathematics::Differential Geometry0101 mathematicsOrlicz spaceAnalysisMathematicsComplex Variables and Elliptic Equations
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