Positive solutions for singular (p, 2)-equations

Calogero Vetro; Francesca Vetro; Nikolaos S. Papageorgiou

Positive solutions for singular (p, 2)-equations

Calogero Vetro, Francesca Vetro, Nikolaos S. Papageorgiou

Matematica e Informatica

Risultato della ricerca: Article › peer review

9 Citazioni (Scopus)

Abstract

We consider a nonlinear nonparametric Dirichlet problem driven by the sum of a p-Laplacian and of a Laplacian (a (p, 2)-equation) and a reaction which involves a singular term and a (p- 1) -superlinear perturbation. Using variational tools and suitable truncation and comparison techniques, we show that the problem has two positive smooth solutions.

Lingua originale	English
pagine (da-a)	1-10
Numero di pagine	10
Rivista	Zeitschrift fur Angewandte Mathematik und Physik
Volume	70
Stato di pubblicazione	Published - 2019

All Science Journal Classification (ASJC) codes

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abstract = "We consider a nonlinear nonparametric Dirichlet problem driven by the sum of a p-Laplacian and of a Laplacian (a (p, 2)-equation) and a reaction which involves a singular term and a (p- 1) -superlinear perturbation. Using variational tools and suitable truncation and comparison techniques, we show that the problem has two positive smooth solutions.",

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AU - Vetro, Calogero

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AU - Papageorgiou, Nikolaos S.

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N2 - We consider a nonlinear nonparametric Dirichlet problem driven by the sum of a p-Laplacian and of a Laplacian (a (p, 2)-equation) and a reaction which involves a singular term and a (p- 1) -superlinear perturbation. Using variational tools and suitable truncation and comparison techniques, we show that the problem has two positive smooth solutions.

AB - We consider a nonlinear nonparametric Dirichlet problem driven by the sum of a p-Laplacian and of a Laplacian (a (p, 2)-equation) and a reaction which involves a singular term and a (p- 1) -superlinear perturbation. Using variational tools and suitable truncation and comparison techniques, we show that the problem has two positive smooth solutions.

UR - http://hdl.handle.net/10447/355026

UR - http://www.springerlink.com/content/0044-2275

M3 - Article

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JF - Zeitschrift fur Angewandte Mathematik und Physik

SN - 0044-2275

ER -

Positive solutions for singular (p, 2)-equations

Abstract

All Science Journal Classification (ASJC) codes

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