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Nonvariational problems with critical growth |
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| Authors: | Maya Chhetri Pavel Drábek Sarah Raynor Stephen Robinson |
| Institution: | 1. University of North Carolina, Greensboro, Department of Mathematics and Statistics, UNC Greensboro, Greensboro, NC 27402, USA;2. University of West Bohemia, Department of Mathematics, University of West Bohemia, Univerzitní 22, 306 14 Plzeň, Czech Republic;3. Wake Forest University, Department of Mathematics, P.O. Box 7388, Winston Salem, NC 27109, USA |
| Abstract: | In this paper, we develop new topological methods for handling nonvariational elliptic problems of critical growth. Our primary goal is to demonstrate how concentration compactness can be applied to achieve topological existence theorems in the nonvariational setting. Our methods apply to both semilinear single equations and systems whose nonlinearity is of critical type. |
| Keywords: | 35J60 47H11 35B32 35B33 |
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