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https://doi.org/10.1016/j.jde.2017.08.039
| 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. https://doi.org/10.1016/j.jde.2017.08.039 | 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 | URI: | https://scholarbank.nus.edu.sg/handle/10635/171596 | ISSN: | 00220396 | DOI: | 10.1016/j.jde.2017.08.039 |
| Appears in Collections: | Staff Publications Staff Publications |
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