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

Research output: Contribution to journal › Article › peer-review

9 Citations (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.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	70
Publication status	Published - 2019

All Science Journal Classification (ASJC) codes

General Mathematics
General Physics and Astronomy
Applied Mathematics

Cite this

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title = "Positive solutions for singular (p, 2)-equations",

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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T1 - Positive solutions for singular (p, 2)-equations

AU - Vetro, Calogero

AU - Vetro, Francesca

AU - Papageorgiou, Nikolaos S.

PY - 2019

Y1 - 2019

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

SN - 0044-2275

VL - 70

SP - 1

EP - 10

JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

ER -

Positive solutions for singular (p, 2)-equations

Abstract

All Science Journal Classification (ASJC) codes

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