Parameter dependence for the positive solutions of nonlinear, nonhomogeneous Robin problems

Calogero Vetro, Francesca Vetro, Nikolaos S. Papageorgiou

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2 Citazioni (Scopus)

Abstract

We consider a parametric nonlinear Robin problem driven by a nonlinear nonhomogeneous differential operator plus an indefinite potential. The reaction term is (p- 1) -superlinear but need not satisfy the usual Ambrosetti–Rabinowitz condition. We look for positive solutions and prove a bifurcation-type result for the set of positive solutions as the parameter λ> 0 varies. Also we prove the existence of a minimal positive solution uλ∗ and determine the monotonicity and continuity properties of the map λ→uλ∗.
Lingua originaleEnglish
pagine (da-a)1-29
Numero di pagine29
RivistaREVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS, FÍSICAS Y NATURALES. SERIE A, MATEMÁTICAS
Volume114
Stato di pubblicazionePublished - 2020

All Science Journal Classification (ASJC) codes

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  • ???subjectarea.asjc.2600.2608???
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