Entropy solutions for nonlinear elliptic equations with variable exponents

Chao Zhang · DOAJ (DOAJ: Directory of Open Access Journals) · 2014

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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