Research Article Existence and Asymptotic Behavior of Positive Solutions to p(x)-Laplacian Equations with Singular Nonlinearities

نویسنده

  • Qihu Zhang
چکیده

The study of differential equations and variational problems with nonstandard p(x)growth conditions is a new and interesting topic. We refer to [1, 2], the background of these problems. Many results have been obtained on this kind of problems, for example, [2–13]. In [4, 7], Fan and Zhao give the regularity of weak solutions for differential equations with nonstandard p(x)-growth conditions. On the existence of solutions for p(x)-Laplacian problems in bounded domain, we refer to [5, 11, 12]. In this paper, we consider the p(x)-Laplacian equations with singular nonlinearities:

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تاریخ انتشار 2007