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...

Full description

Saved in:
Bibliographic Details
Published inRevista 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
LanguageEnglish
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 AccessGet full text
ISSN1578-7303
1579-1505
DOI10.1007/s13398-015-0239-1

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
content type line 23
ISSN:1578-7303
1579-1505
DOI:10.1007/s13398-015-0239-1