Limits as p→∞ of p-Laplacian problems with a superdiffusive power-type nonlinearity: Positive and sign-changing solutions
Parini, Enea; Charro, Fernando (2010), Limits as p→∞ of p-Laplacian problems with a superdiffusive power-type nonlinearity: Positive and sign-changing solutions, Journal of Mathematical Analysis and applications, 372, 2, p. 629-644. http://dx.doi.org/10.1016/j.jmaa.2010.07.005
TypeArticle accepté pour publication ou publié
Journal nameJournal of Mathematical Analysis and applications
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Abstract (EN)We investigate the asymptotic behaviour as p→∞ of sequences of solutions of the equation View the MathML source where λ>0 and q(p)>p with limp→∞q(p)/p=Q⩾1. We are interested in the characterization of such limits as viscosity solutions of a PDE problem. Both positive and sign-changing solutions are considered.
Subjects / KeywordsMorrey's estimate; Viscosity solution; p-Laplacian
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