We prove that the critical problem for the p-Laplacian operator admits a nontrivial solution in annular shaped domains with sufficiently small inner hole.
Mercuri, C., Sciunzi, B., Squassina, M., On Coron's problem for the p-Laplacian, <<JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS>>, 2015; 421 (N/A): 362-369. [doi:10.1016/j.jmaa.2014.07.018] [http://hdl.handle.net/10807/87553]
On Coron's problem for the p-Laplacian
Squassina, MarcoUltimo
2015
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.
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