On a Robin (p, q)-equation with a logistic reaction

• Autorzy: Papageorgiou Nikolaos S. , Vetro Calogero , Vetro Francesca

Identyfikatory

DOI

10.7494/OpMath.2019.39.2.227

• Języki publikacji: EN

Abstrakty

EN

We consider a nonlinear nonhomogeneous Robin equation driven by the sum of a p-Laplacian and of a q-Laplacian ((p,q)-equation) plus an indefinite potential term and a parametric reaction ol logistic type (superdiffusive case). We prove a bilurcation-type result describing the changes in the set ol positive solutions as the parameter λ > 0 varies. Also, we show that lor every admissible parameter λ > 0, the problem admits a smallest positive solution. Keywords: positive solutions, superdiffusive reaction, local minimizers, maximum principle, min

Słowa kluczowe

EN

positive solutions; superdiffusive reaction; local minimizers; maximum principle; minimal positive solutions; Robin boundary condition; indefinite potential

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2019
• Tom: Vol. 39, no. 2
• Strony: 227--245
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Papageorgiou Nikolaos S.

• National Technical University Department of Mathematics Zografou Campus, 15780, Athens, Greece

autor

Vetro Calogero

• University of Palermo Department of Mathematics and Computer Science Via Archirafi 34, 90123, Palermo, Italy

autor

Vetro Francesca

• Nonlinear Analysis Research Group Faculty of Mathematics and Statistics Ton Due Thang University Ho Chi Minh City, Vietnam

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