Radial and nonradial minimizers for some radially symmetric functionals
$$ V(u) = {1over 2}int_{R^N} |{ m grad}, u(x)|^2, dx + int_{R^N}F(u(x)),dx $$ subject to $$ int_{R^N} G(u(x)), dx = lambda > 0,$$ where $u(x) = (u_1(x) , ldots, u_K(x))$ belongs to $H^1_K (R^N) = H^1 (R^N) imescdotsimes H^1(R^N)$ (K times) and $|{ m grad}, u(x)|^2$ means $ sum^K_{i=1}|{ m grad},...
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| Format: | Article |
| Language: | English |
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Texas State University
1996-11-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/1996/03/abstr.html |