Entropy solutions for nonlinear elliptic equations with variable exponents
In this article we prove the existence and uniqueness of entropy solutions for p(x)-Laplace equations with a Radon measure which is absolutely continuous with respect to the relative p(x)-capacity. Moreover, the existence of entropy solutions for weighted p(x)-Laplace equation is also obtained.
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| Format: | Article |
| Language: | English |
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Texas State University
2014-03-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/92/abstr.html |