Existence results for nonlinear elliptic equations in bounded domains of $R^n$
We establish existence results for the boundary-value problem $Delta u+f(.,u)=0$ in a smooth bounded domain in $mathbb{R}^n$ $(ngeq 2)$, where $f$ satisfies some appropriate conditions related to a Kato class. The proofs are based on various techniques related to potential theory.
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| Format: | Article |
| Language: | English |
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Texas State University
2006-08-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2006/92/abstr.html |