Strongly nonlinear degenerated elliptic unilateral problems via convergence of truncations
We prove an existence theorem for a strongly nonlinear degenerated elliptic inequalities involving nonlinear operators of the form $Au+g(x,u,abla u)$. Here $A$ is a Leray-Lions operator, $g(x,s,xi)$ is a lower order term satisfying some natural growth with respect to $|abla u|$. There is no growth r...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2002-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/09/a3/abstr.html |
| Summary: | We prove an existence theorem for a strongly nonlinear degenerated elliptic inequalities involving nonlinear operators of the form $Au+g(x,u,abla u)$. Here $A$ is a Leray-Lions operator, $g(x,s,xi)$ is a lower order term satisfying some natural growth with respect to $|abla u|$. There is no growth restrictions with respect to $|u|$, only a sign condition. Under the assumption that the second term belongs to $W^{-1,p'}(Omega,w^*)$, we obtain the main result via strong convergence of truncations. |
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| ISSN: | 1072-6691 |