Journal article 1675 views
On Coron's problem for the p-Laplacian
,
Berardino Sciunzi,
Marco Squassina
Journal of Mathematical Analysis and Applications, Volume: 421, Issue: 1, Pages: 362 - 369
Swansea University Author:
Carlo Mercuri
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DOI (Published version): 10.1016/j.jmaa.2014.07.018
Abstract
By using recent advances in the variational analysis of p-Laplacian problems involving critical nonlinearities, 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, after three decades...
| Published in: | Journal of Mathematical Analysis and Applications |
|---|---|
| Published: |
2014
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| Online Access: |
http://www.sciencedirect.com/science/article/pii/S0022247X14006611 |
| URI: | https://cronfa.swan.ac.uk/Record/cronfa22339 |
| Abstract: |
By using recent advances in the variational analysis of p-Laplacian problems involving critical nonlinearities, 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, after three decades, a classical result of J.-M. Coron, to the quasilinear case. |
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| Keywords: |
p-Laplacian, lack of compactness, critical Sobolev exponent, Coron's problem, Palais-Smale condition |
| College: |
Faculty of Science and Engineering |
| Issue: |
1 |
| Start Page: |
362 |
| End Page: |
369 |