Qualitative properties of solutions for quasi-linear elliptic equations
For several classes of functions including the special case $f(u)=u^{p-1}-u^m$, $m>p-1>0$, we obtain Liouville type, boundedness and symmetry results for solutions of the non-linear $p$-Laplacian problem $-Delta_p u=f(u)$ defined on the whole space $mathbb{R}^n$. Suppose $u in C^2(mathbb{R}^n)...
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Format: | Article |
Language: | English |
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Texas State University
2003-09-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2003/99/abstr.html |