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On Coron's problem for the p-Laplacian |
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| Authors: | Carlo Mercuri Berardino Sciunzi Marco Squassina |
| Institution: | 1. Department of Mathematics and College of Science, Swansea University, Singleton Park, Swansea SA2 8PP Wales, United Kingdom;2. Dipartimento di Matematica e Informatica, UNICAL, Ponte Pietro Bucci 31B, 87036 Arcavacata di Rende, Cosenza, Italy;3. Dipartimento di Informatica, Università degli Studi di Verona, Cá Vignal 2, Strada Le Grazie 15, 37134 Verona, Italy |
| Abstract: | We prove that the critical problem for the p-Laplacian operator admits a nontrivial solution in annular shaped domains with sufficiently small inner hole. This extends Coron's result 4] to a class of quasilinear problems. |
| Keywords: | Coron's problem Quasi-linear equations Critical exponent |
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