Existence of Solutions for Elliptic Systems with Critical Sobolev Exponent
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.
Citation
Amster, P., De Napoli, P., & Mariani, M. C. (2002). Existence of solutions for elliptic systems with critical Sobolev exponent. Electronic Journal of Differential Equations, 2002(49), pp. 1-13.Rights License
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