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2016-08-06
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info:eu-repo/semantics/openAccess
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Springer Nature
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We prove comparison principles for quasilinear elliptic equations whose simplest model is (Formula presented.), where Δpu=div(|Du|p-2Du) is the p-Laplace operator with p> 2 , λ≥ 0 , H(x, ξ) : Ω × RN→ R is a Carathéodory function and Ω ⊂ RN is a bounded domain, N≥ 2. We collect several comparison results for weak sub- and super-solutions under different setting of assumptions and with possibly different methods. A strong comparison result is also proved for more regular solutions.
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Leonori, T., Porretta, A. & Riey, G. Comparison principles for p-Laplace equations with lower order terms. Annali di Matematica 196, 877–903 (2017). https://doi.org/10.1007/s10231-016-0600-9
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Facultades y escuelas::Facultad de Ciencias
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Matemáticas Fundamentales