Existence of multiple solutions for a p(x)-Laplace equation
This article shows the existence of at least three nontrivial solutions to the quasilinear elliptic equation $$ -Delta_{p(x)}u+|u|^{p(x)-2}u=f(x,u) $$ in a smooth bounded domain $Omegasubsetmathbb{R}^{n}$, with the nonlinear boundary condition $| abla u|^{p(x)-2}frac{partial u}{partial u}=g(...
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| Format: | Article |
| Language: | English |
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Texas State University
2010-03-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/33/abstr.html |