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A relation between the domain topology and the number of minimal nodal solutions for a quasilinear elliptic problem

✍ Scribed by Marcelo F. Furtado

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
228 KB
Volume
62
Category
Article
ISSN
0362-546X

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## Abstract This paper is concerned with the existence and concentration of positive solutions for the following quasilinear equation The proof relies on variational methods by using directly the functional associated with the problem in an appropriate Sobolev space. It was found a family of solut