Existence of Solutions for Elliptic Systems with Critical Sobolev Exponent
Date
2002-06-02
Authors
Amster, Pablo
De Napoli, Pablo
Mariani, Maria Cristina
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We establish conditions for existence and for nonexistence of nontrivial solutions to an elliptic system of partial differential equations. This system is of gradient type and has a nonlinearity with critical growth.
Description
Keywords
Elliptic systems, Critical Sobolev exponent, Variational methods
Citation
Amster, P., De Napoli, P., & Mariani, M. C. (2002). Existence of solutions for elliptic systems with critical Sobolev exponent. <i>Electronic Journal of Differential Equations, 2002</i>(49), pp. 1-13.
Rights
Attribution 4.0 International