Parametric and nonparametric A-Laplace problems: Existence of solutions and asymptotic analysis
- Autori: Vetro C.
- Anno di pubblicazione: 2021
- Tipologia: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/507743
Abstract
We give sufficient conditions for the existence of weak solutions to quasilinear elliptic Dirichlet problem driven by the A-Laplace operator in a bounded domain ω. The techniques, based on a variant of the symmetric mountain pass theorem, exploit variational methods. We also provide information about the asymptotic behavior of the solutions as a suitable parameter goes to 0 + . In this case, we point out the existence of a blow-up phenomenon. The analysis developed in this paper extends and complements various qualitative and asymptotic properties for some cases described by homogeneous differential operators.