Existence and multiplicity of solutions for p(.)-Kirchhoff-type equations

Küçük Resim Yok

Tarih

2022

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Tubitak Scientific & Technological Research Council Turkey

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

This paper is concerned with the existence and multiplicity of solutions of a Dirichlet problem for p(.)- Kirchhoff-type equation {M(integral(Omega)vertical bar del vertical bar p(x)/p(x)dx) (-Delta(p(x))u) = f(x,u), in Omega, u = 0, on partial derivative Omega Using the mountain pass theorem, fountain theorem, dual fountain theorem and the theory of the variable exponent Sobolev spaces, under appropriate assumptions on f and M, we obtain results on existence and multiplicity of solutions.

Açıklama

Anahtar Kelimeler

Lebesgue and Sobolev spaces with variable exponent, p(.)-Laplacian, Kirchhoff-type equation, mountain pass theorem, fountain theorem, dual fountain theorem

Kaynak

Turkish Journal of Mathematics

WoS Q Değeri

Q2

Scopus Q Değeri

Q2

Cilt

46

Sayı

4

Künye