Nonlinear Nonhomogeneous Robin Problems with Almost Critical and Partially Concave Reaction

Calogero Vetro; Dušan D. Repovš; Nikolaos S. Papageorgiou

Nonlinear Nonhomogeneous Robin Problems with Almost Critical and Partially Concave Reaction

Calogero Vetro, Dušan D. Repovš, Nikolaos S. Papageorgiou

Matematica e Informatica

Risultato della ricerca: Article › peer review

Abstract

We consider a nonlinear Robin problem driven by a nonhomogeneous differential operator, with reaction which exhibits the competition of two Carathéodory terms. One is parametric, (p-1)-sublinear with a partially concave nonlinearity near zero. The other is (p- 1) -superlinear and has almost critical growth. Exploiting the special geometry of the problem, we prove a bifurcation-type result, describing the changes in the set of positive solutions as the parameter λ> 0 varies.

Lingua originale	English
pagine (da-a)	1774-1803
Numero di pagine	30
Rivista	THE JOURNAL OF GEOMETRIC ANALYSIS
Volume	30
Stato di pubblicazione	Published - 2020

All Science Journal Classification (ASJC) codes

Geometry and Topology

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title = "Nonlinear Nonhomogeneous Robin Problems with Almost Critical and Partially Concave Reaction",

abstract = "We consider a nonlinear Robin problem driven by a nonhomogeneous differential operator, with reaction which exhibits the competition of two Carath{\'e}odory terms. One is parametric, (p-1)-sublinear with a partially concave nonlinearity near zero. The other is (p- 1) -superlinear and has almost critical growth. Exploiting the special geometry of the problem, we prove a bifurcation-type result, describing the changes in the set of positive solutions as the parameter λ> 0 varies.",

author = "Calogero Vetro and Repov{\v s}, {Du{\v s}an D.} and Papageorgiou, {Nikolaos S.}",

year = "2020",

language = "English",

volume = "30",

pages = "1774--1803",

journal = "THE JOURNAL OF GEOMETRIC ANALYSIS",

issn = "1050-6926",

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T1 - Nonlinear Nonhomogeneous Robin Problems with Almost Critical and Partially Concave Reaction

AU - Vetro, Calogero

AU - Repovš, Dušan D.

AU - Papageorgiou, Nikolaos S.

PY - 2020

Y1 - 2020

N2 - We consider a nonlinear Robin problem driven by a nonhomogeneous differential operator, with reaction which exhibits the competition of two Carathéodory terms. One is parametric, (p-1)-sublinear with a partially concave nonlinearity near zero. The other is (p- 1) -superlinear and has almost critical growth. Exploiting the special geometry of the problem, we prove a bifurcation-type result, describing the changes in the set of positive solutions as the parameter λ> 0 varies.

AB - We consider a nonlinear Robin problem driven by a nonhomogeneous differential operator, with reaction which exhibits the competition of two Carathéodory terms. One is parametric, (p-1)-sublinear with a partially concave nonlinearity near zero. The other is (p- 1) -superlinear and has almost critical growth. Exploiting the special geometry of the problem, we prove a bifurcation-type result, describing the changes in the set of positive solutions as the parameter λ> 0 varies.

UR - http://hdl.handle.net/10447/409324

M3 - Article

VL - 30

SP - 1774

EP - 1803

JO - THE JOURNAL OF GEOMETRIC ANALYSIS

JF - THE JOURNAL OF GEOMETRIC ANALYSIS

SN - 1050-6926

ER -