6533b7ddfe1ef96bd1274a5c
RESEARCH PRODUCT
Multiplicity theorems for the Dirichlet problem involving the p-Laplacian
Roberto LivreaGabriele Bonannosubject
Pure mathematicsApplied Mathematicsp-LaplacianMathematical analysisMultiple solutionDirichlet L-functionAnalysiDirichlet's energyMathematics::Spectral TheoryCritical pointDirichlet kernelsymbols.namesakeDirichlet eigenvalueDirichlet's principleDirichlet boundary conditionsymbolsMathematics (all)General Dirichlet seriesAnalysisDirichlet seriesDirichlet problemMathematicsdescription
Multiplicity theorems for the Dirichlet problem involving the p-Laplacian were proved using variational approach. It was shown that there existed an open interval and a positive real number, and each problem admits at least three weak solutions. Results on the existence of at least three weak solutions for the Dirichlet problems were established.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-07-01 | Nonlinear Analysis: Theory, Methods & Applications |