Search results for "Discontinuous weight"

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Positive solutions for singular double phase problems

2021

Abstract We study the existence of positive solutions for a class of double phase Dirichlet equations which have the combined effects of a singular term and of a parametric superlinear term. The differential operator of the equation is the sum of a p-Laplacian and of a weighted q-Laplacian ( q p ) with discontinuous weight. Using the Nehari method, we show that for all small values of the parameter λ > 0 , the equation has at least two positive solutions.

Class (set theory)Double phase problemNehari manifold01 natural sciencesDirichlet distributionsymbols.namesakeMathematics - Analysis of PDEsSettore MAT/05 - Analisi MatematicaFOS: MathematicsApplied mathematics0101 mathematics35J60 35D05Positive solutionsParametric statisticsMathematicsApplied Mathematics010102 general mathematicsSingular termSingular termMathematics::Spectral TheoryDifferential operatorTerm (time)010101 applied mathematicsDouble phaseDiscontinuous weightsymbolsAnalysisAnalysis of PDEs (math.AP)
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