6533b823fe1ef96bd127f521
RESEARCH PRODUCT
Superlinear (p(z), q(z))-equations
Calogero VetroNikolaos S. Papageorgiousubject
Mathematics::Analysis of PDEs01 natural sciencesDirichlet distributionsymbols.namesakeSettore MAT/05 - Analisi MatematicaBoundary value problemMountain pass0101 mathematicsMathematicsNumerical Analysisgeographygeography.geographical_feature_category (p(z)q(z))-Laplacian operatorApplied MathematicsWeak solutionOperator (physics)010102 general mathematicsMathematical analysisweak solutionTerm (time)010101 applied mathematicsComputational MathematicsNonlinear system(Cc)-condition(p(z)critical groupsymbolsnonlinear regularityPrincipal partAnalysisdescription
AbstractWe consider Dirichlet boundary value problems for equations involving the (p(z), q(z))-Laplacian operator in the principal part and prove the existence of one and three nontrivial weak solutions, respectively. Here, the nonlinearity in the reaction term is allowed to depend on the solution, but does not satisfy the Ambrosetti–Rabinowitz condition. The hypotheses on the reaction term ensure that the Euler–Lagrange functional, associated to the problem, satisfies both the -condition and a mountain pass geometry.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-12-10 | Complex Variables and Elliptic Equations |