Existence of solutions for an elliptic equation with nonstandard growth

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Küçük Resim

Tarih

2013

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

This paper deals with the existence of solutions for some elliptic equations with nonstandard growth under zero Dirichlet boundary condition. Using a direct variational method and the theory of the variable exponent Sobolev spaces, we set some conditions that ensures the existence of nontrivial weak solutions.

Açıklama

Anahtar Kelimeler

Ekeland variational principle, Mountain pass theorem, P(X)-laplace operator, Variable exponent sobolev spaces, Variational method

Kaynak

International Journal of Pure and Applied Mathematics

WoS Q Değeri

Scopus Q Değeri

N/A

Cilt

86

Sayı

1

Künye

Avcı, M., Mashiyev, R. A. ve Çekiç, B. (2013). Existence of solutions for an elliptic equation with nonstandard growth. International Journal of Pure and Applied Mathematics, 86(1), 131-139.