Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10427125 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 26 Pages |
Abstract
In this paper, we establish a fixed point result of Krasnoselskii type for the sum A+B, where A and B are continuous maps acting on locally convex spaces. Our results extend previous ones. We apply such results to obtain strong solutions for some quasi-linear elliptic equations with lack of compactness. We also provide an application to the existence and regularity theory of solutions to a nonlinear integral equation modeled in a Banach space. In the last section we develop a sequentially weak continuity result for a class of operators acting on vector-valued Lebesgue spaces. Such a result is used together with a geometric condition as the main tool to provide an existence theory for nonlinear integral equations in Lp(E).
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Authors
Cleon S. Barroso, Eduardo V. Teixeira,