6533b870fe1ef96bd12d06f5

RESEARCH PRODUCT

Parametric nonlinear singular Dirichlet problems

Calogero VetroNikolaos S. PapageorgiouFrancesca Vetro

subject

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

description

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.

yearjournalcountryeditionlanguage
2019-02-01
10.1016/j.nonrwa.2018.07.006http://hdl.handle.net/10447/334790