Existence and multiplicity of solutions for a Steklov problem involving the p(x)-Laplace operator

Existence and multiplicity of solutions for a Steklov problem involving the p(x)-Laplace operator

In this article we study the nonlinear Steklov boundary-value problem $$displaylines{ Delta_{p(x)} u=|u|^{p(x)-2}u quad hbox{in } Omega, cr |abla u|^{p(x)-2}frac{partial u}{partial u}=lambda f(x,u) quad hbox{on } partialOmega. }$$ Using the variational method, under appropriate assumptions on...

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Podrobná bibliografie
Hlavní autoři: Mostafa Allaoui, Abdel Rachid El Amrouss, Anass Ourraoui
Médium: Článek
Jazyk:English
Vydáno: Texas State University 2012-08-01
Edice:Electronic Journal of Differential Equations
Témata:
p(x)-Laplace operator
variable exponent Lebesgue space
variable exponent Sobolev space
Ricceri's variational principle
On-line přístup:http://ejde.math.txstate.edu/Volumes/2012/132/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2012/132/abstr.html

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