Multiple solutions for the $p$-Laplace equation with nonlinear boundary conditions
In this note, we show the existence of at least three nontrivial solutions to the quasilinear elliptic equation $$ -Delta_p u + |u|^{p-2}u = f(x,u) $$ in a smooth bounded domain $Omega$ of $mathbb{R}^N$ with nonlinear boundary conditions $| abla u|^{p-2}frac{partial u}{partial u} = g(x,u)$...
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| Format: | Article |
| Language: | English |
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Texas State University
2006-03-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2006/37/abstr.html |