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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2012-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2012/132/abstr.html |