Entropy Solutions for Nonlinear Elliptic Anisotropic Homogeneous Neumann Problem
We prove the existence and uniqueness of entropy solution for nonlinear anisotropic elliptic equations with Neumann homogeneous boundary value condition for -data. We prove first, by using minimization techniques, the existence and uniqueness of weak solution when the data is bounded, and by approxi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2013/476781 |
| Summary: | We prove the existence and uniqueness of entropy solution for
nonlinear anisotropic elliptic equations with Neumann homogeneous
boundary value condition for -data. We prove first, by using
minimization techniques, the existence and uniqueness of weak
solution when the data is bounded, and by approximation methods, we
prove a result of existence and uniqueness of entropy
solution. |
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| ISSN: | 1687-9643 1687-9651 |