Existence and uniqueness of positive solutions to a quasilinear elliptic problem in $R^N$
We prove the existence of a unique positive solution to the problem $$ -Delta _{p}u=a(x)f(u) $$ in $mathbb{R}^{N}$, $N>2$. Our result extended previous works by Cirstea-Radulescu and Dinu, while the proofs are based on two theorems on bounded domains, due to Diaz-Saa and Goncalves-Santos.
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| Format: | Article |
| Language: | English |
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Texas State University
2005-12-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/139/abstr.html |