0000000000916378

AUTHOR

Salvatore A. Marano

showing 5 related works from this author

Some recent results on a singular p-laplacian equations

2022

Abstract A short account of some recent existence, multiplicity, and uniqueness results for singular p-Laplacian problems either in bounded domains or in the whole space is performed, with a special attention to the case of convective reactions. An extensive bibliography is also provided.

singular termMathematics - Analysis of PDEsSettore MAT/05 - Analisi Matematicaquasi-linear elliptic equation gradient dependence singular term entire solution strong solution35-02 35J62 35J75 35J92General Mathematicsgradient dependencestrong solutionFOS: Mathematicsentire solutionquasi-linear elliptic equationAnalysis of PDEs (math.AP)
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Critical points for nondifferentiable functions in presence of splitting

2006

A classical critical point theorem in presence of splitting established by Brézis-Nirenberg is extended to functionals which are the sum of a locally Lipschitz continuous term and of a convex, proper, lower semicontinuous function. The obtained result is then exploited to prove a multiplicity theorem for a family of elliptic variational-hemivariational eigenvalue problems. © 2005 Elsevier Inc. All rights reserved.

Mathematics::Functional AnalysisPure mathematicsnon-smooth functionNonsmooth functionssplittingApplied MathematicsMathematical analysisMultiple solutionsMultiple solutionMathematics::Analysis of PDEsRegular polygoncritical point; non-smooth function; splittingcritical pointMultiplicity (mathematics)Critical pointsNonsmooth functionElliptic variational-hemivariational eigenvalue problemLipschitz continuityCritical point (mathematics)Elliptic variational–hemivariational eigenvalue problemsSplittingsEigenvalues and eigenvectorsAnalysisMathematics
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A min-max principle for non-differentiable functions with a weak compactness condition

2009

A general critical point result established by Ghoussoub is extended to the case of locally Lipschitz continuous functions satisfying a weak Palais-Smale hypothesis, which includes the so-called non-smooth Cerami condition. Some special cases are then pointed out.

Pure mathematicsApplied MathematicsMathematics::Analysis of PDEsGeneral MedicineLipschitz continuityCritical point (mathematics)Critical pointLocally lipshitz continuous functionCompact spaceWeak Palais-Smale conditionDifferentiable functionMountain Pass geometryAnalysisMathematicsCommunications on Pure & Applied Analysis
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Multiple solutions for a Dirichlet problem with p-Laplacian and set-valued nonlinearity

2008

AbstractThe existence of a negative solution, of a positive solution, and of a sign-changing solution to a Dirichlet eigenvalue problem with p-Laplacian and multi-valued nonlinearity is investigated via sub- and supersolution methods as well as variational techniques for nonsmooth functions.

Dirichlet problemGeneral MathematicsMathematical analysisNull (mathematics)Multiple solutions Dirichlet problem p-Laplacian set-valued nonlinearitySet (abstract data type)symbols.namesakeGeneralized gradientNonlinear systemDirichlet eigenvalueSettore MAT/05 - Analisi MatematicaDirichlet's principlep-LaplaciansymbolsMathematics
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Some recent results on singular $ p $-Laplacian systems

2022

Some recent existence, multiplicity, and uniqueness results for singular p-Laplacian systems either in bounded domains or in the whole space are presented, with a special attention to the case of convective reactions. A extensive bibliography is also provided.

singular termMathematics - Analysis of PDEsQuasi-linear elliptic system gradient dependence singular term entire solution strong solution.Settore MAT/05 - Analisi Matematica35-02 35J62 35J75 35J92gradient dependencestrong solutionFOS: Mathematicsentire solutionQuasi-linear elliptic systemAnalysis of PDEs (math.AP)
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