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Title: Existence of weak solutions to degenerate p-Laplacian equations and integral formulas
Authors: Chua, Seng Kee 
Wheeden, Richard L.
Keywords: nonlinear equations, existence of solutions, degenerate $p$-Laplacian, degenerate Sobolev spaces, quasimetric spaces, mountain pass lemma, concentration compactness principle
Issue Date: 18-Aug-2017
Publisher: Elsevier
Citation: Chua, Seng Kee, Wheeden, Richard L. (2017-08-18). Existence of weak solutions to degenerate p-Laplacian equations and integral formulas. Journal of differential equations 263 : 8186-8228. ScholarBank@NUS Repository.
Abstract: We study the problem of solving some general integral formulas and then apply the conclusions to obtain results about the existence of weak solutions of various degenerate p-Laplacian equations. Our methods are a combination of classical Variational Calculus, the Mountain Pass Lemma without the Palais-Smale condition, and an abstract version of Lions' concentration compactness principle II
Source Title: Journal of differential equations
ISSN: 00220396
DOI: 10.1016/j.jde.2017.08.039
Appears in Collections:Staff Publications
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