A semilinear elliptic PDE not in divergence form via variational methods

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:383

Article

Servadei, Raffaella

关键词: Semilinear elliptic PDE;    Variational methods;    Critical points theory;    Iterative techniques;    Regularity results;   

DOI  :  10.1016/j.jmaa.2011.05.017

来源: Elsevier

【 摘 要 】

In this paper we consider a semilinear equation driven by an operator not in divergence form. Precisely, the principal part of the operator is in divergence form, but it has also a lower order term depending on Du. While the right-hand side of the equation satisfies superlinear and subcritical growth conditions at zero and at infinity. The problem has not a variational structure, but, despite that, we use variational techniques in order to prove an existence and regularity result for the equation. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free