Existence of solutions to singular elliptic equations with convection terms via the Galerkin method
In this article, we use the Galerkin method to show the existence of solutions for the following elliptic equation with convection term $$ - Delta u= h(x,u)+lambda g(x, abla u) quad u(x)>0 quad ext{in } Omega, quad u=0 quad ext{on } partial Omega, $$ where $Omega$ is a bounded domain, $lam...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2010-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/12/abstr.html |
| Summary: | In this article, we use the Galerkin method to show the existence of solutions for the following elliptic equation with convection term $$ - Delta u= h(x,u)+lambda g(x, abla u) quad u(x)>0 quad ext{in } Omega, quad u=0 quad ext{on } partial Omega, $$ where $Omega$ is a bounded domain, $lambda geq 0$ is a parameter, $h$ has sublinear and singular terms, and $g$ is a continuous function. |
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| ISSN: | 1072-6691 |