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Title: | Boundedness of the extremal solution of some p-Laplacian problems | Authors: | Sanchón, Manel | Keywords: | p-Laplacian; Extremal solution; Regularity | Issue Date: | 2007 | Citation: | Nonlinear Analysis: Theory, Methods & Applications. 67:1 (2007) 281-294 | Abstract: | In this article we consider the p-Laplace equation on a smooth bounded domain of with zero Dirichlet boundary conditions. Under adequate assumptions on f we prove that the extremal solution of this problem is in the energy class independently of the domain. We also obtain Lq and W1,q estimates for such a solution. Moreover, we prove its boundedness for some range of dimensions depending on the nonlinearity f. | URI: | https://hdl.handle.net/10316/4603 | DOI: | 10.1016/j.na.2006.05.010 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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