6533b7d4fe1ef96bd1262331

RESEARCH PRODUCT

Positive solutions for parametric singular Dirichlet (p,q)-equations

Papageorgiou N. S.Vetro C.Zhang Y.

subject

Minimal solutionSettore MAT/05 - Analisi MatematicaNonlinear maximum principleBifurcation-type theoremSolution multifunctionNonlinear regularity

description

We consider a nonlinear elliptic Dirichlet problem driven by the (p,q)-Laplacian and a reaction consisting of a parametric singular term plus a Caratheodory perturbation f(z,x) which is (p-1)-linear as x goes to + infinity. First we prove a bifurcation-type theorem describing in an exact way the changes in the set of positive solutions as the parameter lambda>0 moves. Subsequently, we focus on the solution multifunction and prove its continuity properties. Finally we prove the existence of a smallest (minimal) solution u*_lambda and investigate the monotonicity and continuity properties of the map lambda --> u*_lambda.

yearjournalcountryeditionlanguage
2020-01-01
10.1016/j.na.2020.111882http://hdl.handle.net/10447/425872