Multiplicity of symmetric solutions for a nonlinear eigenvalue problem in $R^n$
In this paper, we study the nonlinear eigenvalue field equation $$ -Delta u+V(|x|)u+varepsilon(-Delta_p u+W'(u))=mu u $$ where $u$ is a function from $mathbb{R}^n$ to $mathbb{R}^{n+1}$ with $ngeq 3$, $varepsilon$ is a positive parameter and $p$ greater than $n$. We find a multiplicity of solu...
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| Format: | Article |
| Language: | English |
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Texas State University
2005-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/05/abstr.html |