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

Electronic Journal of Differential Equations

关键词: p(x)-Laplace operator;    variable exponent Lebesgue space;    variable exponent Sobolev space;    Ricceri's variational principle;   

DOI  :  

来源: DOAJ

【 摘 要 】

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

【 授权许可】

Unknown