Search results for " variable exponent"

showing 3 items of 3 documents

Multiple solutions for a Neumann-type differential inclusion problem involving the p(.)-Laplacian

2012

Using a multiple critical points theorem for locally Lipschitz continuous functionals, we establish the existence of at least three distinct solutions for a Neumann-type differential inclusion problem involving the $p(\cdot)$-Laplacian.

Pure mathematicsApplied Mathematicsthree-critical-points theoremdifferential inclusion problemType (model theory)Lipschitz continuityDifferential inclusionCritical points of locally Lipschitz continuous functionalcritical points of locally Lipschitz continuous functionalsp-LaplacianDiscrete Mathematics and Combinatoricsp(x)-Laplacian; variable exponent Sobolev space; critical points of locally Lipschitz continuous functionals; differential inclusion problem; three-critical-points theoremp(x)-Laplacianvariable exponent Sobolev spaceAnalysisMathematics
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One-dimensional nonlinear boundary value problems with variable exponent

2018

In this paper, a class of nonlinear differential boundary value problems with variable exponent is investigated. The existence of at least one non-zero solution is established, without assuming on the nonlinear term any condition either at zero or at infinity. The approach is developed within the framework of the Orlicz-Sobolev spaces with variable exponent and it is based on a local minimum theorem for differentiable functions.

Variable exponent Sobolev spacemedia_common.quotation_subject02 engineering and technology01 natural sciences0202 electrical engineering electronic engineering information engineeringDiscrete Mathematics and CombinatoricsBoundary value problemDifferentiable function0101 mathematicsDifferential (infinitesimal)P(x)-LaplacianDiscrete Mathematics and Combinatoricmedia_commonMathematicsDirichlet problemDirichlet problemApplied Mathematics010102 general mathematicsMathematical analysisZero (complex analysis)AnalysiDirichlet problem; P(x)-Laplacian; Variable exponent Sobolev spaces; Analysis; Discrete Mathematics and Combinatorics; Applied MathematicsMixed boundary conditionInfinityNonlinear system020201 artificial intelligence & image processingAnalysis
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Constant sign and nodal solutions for parametric anisotropic $(p, 2)$-equations

2021

We consider an anisotropic ▫$(p, 2)$▫-equation, with a parametric and superlinear reaction term.Weshow that for all small values of the parameter the problem has at least five nontrivial smooth solutions, four with constant sign and the fifth nodal (sign-changing). The proofs use tools from critical point theory, truncation and comparison techniques, and critical groups. Spletna objava: 9. 9. 2021. Abstract. Bibliografija: str. 1076.

udc:517.9electrorheological fluidsElectrorheological fluidMaximum principleMathematics - Analysis of PDEsSettore MAT/05 - Analisi MatematicaFOS: Mathematicsconstant sign and nodal solutionsAnisotropyanisotropic operators regularity theory maximum principle constant sign and nodal solutions critical groups variable exponent electrorheological fluidsParametric statisticsMathematicsvariable exponentVariable exponentApplied MathematicsMathematical analysisudc:517.956.2regularity theoryAnisotropic operatorsanisotropic operatorsTerm (time)Primary: 35J20 35J60 35J92 Secondary: 47J15 58E05maximum principleConstant (mathematics)critical groupsAnalysisAnalysis of PDEs (math.AP)Sign (mathematics)
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