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Search: authors:"Zhongqing Li"

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Existence of Solutions for Degenerate Elliptic Problems in Weighted Sobolev Space

This paper is devoted to the study of the existence of solutions to a general elliptic problem , with and , where is a Leray-Lions operator from a weighted Sobolev space into its dual and is a nonlinear term satisfying , , and a growth condition with respect to . Here, , are weight functions that will be defined in the Preliminaries.

Existence of nonnegative nontrivial periodic solutions to a doubly degenerate parabolic equation with variable exponent

The authors investigate a degenerate parabolic equation with delay and nonlocal term, which describes slow diffusive processes in physics or biology. The existence of a nonnegative nontrivial periodic solution is obtained through the use of the Leray-Schauder degree method.MSC: 35D05, 35K55.