On weak solutions for \(p\)-Laplacian equations with weights (Q931315): Difference between revisions
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scientific article; zbMATH DE number 5292680
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| English | On weak solutions for \(p\)-Laplacian equations with weights |
scientific article; zbMATH DE number 5292680 |
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On weak solutions for \(p\)-Laplacian equations with weights (English)
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25 June 2008
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Summary: We summarize the results obtained in the forthcoming papers [the authors, Ann. Inst. Henri Poncaré, Anal. Non Linéaire 25, No. 3, 505--537 (2008; Zbl 1147.35045); Indiana Univ. Math. J. 57, No. 7, 3329--3364 (2008; Zbl 1171.35057)], in which we prove existence and non-existence theorems of weak solutions of quasilinear singular elliptic equations with weights. We also establish regularity and qualitative properties of the solutions.
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\(p\)-Laplacian operator
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quasilinear equations
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weak solutions
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