Optimization in problems involving the p-Laplacian
We minimize the energy integral $int_Omega | abla u|^p,dx$, where $g$ is a bounded positive function that varies in a class of rearrangements, $p>1$, and $u$ is a solution of $$displaylines{ -Delta_p u=g quadhbox{in } Omegacr u=0quad hbox{on } partialOmega,. }$$ Also we maximize the first...
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| Format: | Article |
| Language: | English |
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Texas State University
2010-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/02/abstr.html |