Search results for "singular term"

showing 2 items of 12 documents

A singular (p,q)-equation with convection and a locally defined perturbation

2021

Abstract We consider a parametric Dirichlet problem driven by the ( p , q ) -Laplacian and a reaction which is gradient dependent (convection) and the competing effects of two more terms, one a parametric singular term and a locally defined perturbation. We show that for all small values of the parameter the problem has a positive smooth solution.

010101 applied mathematicsDirichlet problemConvectionApplied Mathematics010102 general mathematicsMathematical analysisSingular termPerturbation (astronomy)0101 mathematics01 natural sciencesLaplace operatorMathematicsParametric statisticsApplied Mathematics Letters
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Parametric nonlinear singular Dirichlet problems

2019

Abstract We consider a nonlinear parametric Dirichlet problem driven by the p -Laplacian and a reaction which exhibits the competing effects of a singular term and of a resonant perturbation. Using variational methods together with suitable truncation and comparison techniques, we prove a bifurcation-type theorem describing the dependence on the parameter of the set of positive solutions.

Perturbation (astronomy)01 natural sciencesResonanceDirichlet distributionPositive solutionsymbols.namesakeSingularityApplied mathematics0101 mathematicsParametric statisticsMathematicsDirichlet problemSingularityApplied Mathematics010102 general mathematicsGeneral EngineeringSingular termGeneral Medicine010101 applied mathematicsComputational MathematicsNonlinear systemsymbolsGeneral Economics Econometrics and FinanceLaplace operatorAnalysisBifurcation-type theorem
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