Existence of two weak solutions for some singular elliptic problems

In this paper, we establish the existence of at least two distinct weak solutions for some singular elliptic problems involving a p -Laplace operator, subject to Dirichlet boundary conditions in a smooth bounded domain in R N . A critical point result for differentiable functionals is exploited, in...

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Published in	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Vol. 110; no. 2; pp. 385 - 393
Main Authors	Khodabakhshi, M., Aminpour, A. M., Afrouzi, G. A., Hadjian, A.
Format	Journal Article
Language	English
Published	Milan Springer Milan 01.09.2016 Springer Nature B.V
Subjects	Applications of Mathematics Boundary conditions Critical point Dirichlet problem Functionals Mathematical and Computational Physics Mathematics Mathematics and Statistics Operators Original Paper Texts Theoretical Laplace operator Critical point Variational methods 35J60 35J35 Singular problem
Online Access	Get full text
ISSN	1578-7303 1579-1505
DOI	10.1007/s13398-015-0239-1

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Abstract	In this paper, we establish the existence of at least two distinct weak solutions for some singular elliptic problems involving a p -Laplace operator, subject to Dirichlet boundary conditions in a smooth bounded domain in R N . A critical point result for differentiable functionals is exploited, in order to prove that the problem admits at least two distinct non-trivial weak solutions.
AbstractList	In this paper, we establish the existence of at least two distinct weak solutions for some singular elliptic problems involving a p -Laplace operator, subject to Dirichlet boundary conditions in a smooth bounded domain in R N . A critical point result for differentiable functionals is exploited, in order to prove that the problem admits at least two distinct non-trivial weak solutions. (ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image).In this paper, we establish the existence of at least two distinct weak solutions for some singular elliptic problems involving a p-Laplace operator, subject to Dirichlet boundary conditions in a smooth bounded domain in ... A critical point result for differentiable functionals is exploited, in order to prove that the problem admits at least two distinct non-trivial weak solutions.
Author	Aminpour, A. M. Khodabakhshi, M. Hadjian, A. Afrouzi, G. A.
Author_xml	– sequence: 1 givenname: M. surname: Khodabakhshi fullname: Khodabakhshi, M. organization: Department of Mathematics, Faculty of Mathematical and Computer Sciences, Shahid Chamran University – sequence: 2 givenname: A. M. surname: Aminpour fullname: Aminpour, A. M. organization: Department of Mathematics, Faculty of Mathematical and Computer Sciences, Shahid Chamran University – sequence: 3 givenname: G. A. surname: Afrouzi fullname: Afrouzi, G. A. email: afrouzi@umz.ac.ir organization: Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran – sequence: 4 givenname: A. surname: Hadjian fullname: Hadjian, A. organization: Department of Mathematics, Faculty of Basic Sciences, University of Bojnord
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Title	Existence of two weak solutions for some singular elliptic problems
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