Parametric and nonparametric A-Laplace problems: Existence of solutions and asymptotic analysis

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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.
Lingua originaleEnglish
pagine (da-a)105-118
Numero di pagine14
RivistaAsymptotic Analysis
Stato di pubblicazionePublished - 2021

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