Three Solutions for a Singular Quasilinear Elliptic Problem

In the present paper we deal with a quasilinear problem involving a singular term. By combining truncation techniques with variational methods, we prove the existence of three weak solutions. As far as we know, this is the first contribution in this direction in the high-dimensional case.

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Bibliographic Details
Published inProceedings of the Edinburgh Mathematical Society Vol. 62; no. 1; pp. 179 - 196
Main Authors Faraci, Francesca, Smyrlis, George
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.02.2019
Subjects
Variational methods
variational methods
Primary 35B25
three smooth solutions
35J60
singular quasilinear elliptic problem
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Summary:In the present paper we deal with a quasilinear problem involving a singular term. By combining truncation techniques with variational methods, we prove the existence of three weak solutions. As far as we know, this is the first contribution in this direction in the high-dimensional case.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0013-0915
1464-3839
DOI:10.1017/S0013091518000111