Compactness methods for Hölder estimates of certain degenerate elliptic equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper we obtain the interior $C^{1,\alpha}$ regularity of the quasilinear elliptic equations of divergence form. Our basic tools are the elementary local $L^\infty$ estimates and weak Harnack inequality for second-order linear elliptic equations,
Fengping Yao, Mijia Lai, Huilian Jia
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Boundary Harnack inequality and a priori estimates of singular solutions of quasilinear elliptic equations [PDF]
, 2006 We extend some classical results dealing with boundary Harnack inequatilities to a class of quasilinear elliptic equations and derive some new estimates for solutions of such equations with an isolated singularity on the boundary of a domain.Comment: 17 ...
Marie‐Françoise Bidaut‐Véron +2 more
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Quasilinear elliptic equations with natural growth and quasilinear elliptic equations with singular drift [PDF]
Nonlinear Analysis, 2019 11 ...
DEGIOVANNI M., MARZOCCHI M.
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Global gradient estimates for a general class of quasilinear elliptic equations with Orlicz growth
Proceedings of the American Mathematical Society, 2021 We provide an optimal global Calderón-Zygmund theory for quasilinear elliptic equations of a very general form with Orlicz growth on bounded nonsmooth domains under minimal regularity assumptions of the nonlinearity A = A ( x , u , D u )
Sumiya Baasandorj +2 more
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Harnack's inequality for quasilinear elliptic equations with generalized Orlicz growth [PDF]
Electronic Journal of Differential Equations, 2020 We prove Harnack's inequality for bounded weak solutions to quasilinear second order elliptic equations with generalized Orlicz growth conditions. Our approach covers new cases of variable exponent and (p,q) growth conditions.
M. Shan, I. Skrypnik, M. Voitovych
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Quasilinear elliptic equations with critical exponents [PDF]
Topological Methods in Nonlinear Analysis, 1996 has no solution if Ω ⊂ R , N ≥ 3, is bounded and starshaped with respect to some point, and 2∗ = 2N/(N − 2). In (P0) the nonlinear term is a power of u with the critical exponent (N + 2)/(N − 2). This terminology comes from the fact that the continuous Sobolev imbeddings H 0 (Ω) ⊂ L(Ω), for p ≤ 2∗ and Ω bounded, are also compact except when p = 2 ...
MITIDIERI, ENZO +2 more
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Positive Solutions for Perturbed Fractional p-Laplacian Problems
Fractal and Fractional, 2022 In this article, we consider a class of quasilinear elliptic equations involving the fractional p-Laplacian, in which the nonlinear term satisfies subcritical or critical growth.
Mengfei Tao, Binlin Zhang
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Unique continuation for degenerate quasilinear equations and sum operators
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020 We prove unique continuation property for positive solutions of some quasilinear degenerate elliptic equations.
Giuseppe Di Fazio +2 more
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Existence and multiplicity results for quasilinear equations in the Heisenberg group [PDF]
Opuscula Mathematica, 2019 In this paper we complete the study started in [Existence of entire solutions for quasilinear equations in the Heisenberg group, Minimax Theory Appl. 4 (2019)] on entire solutions for a quasilinear equation \((\mathcal{E}_{\lambda})\) in \(\mathbb{H}^{n}
Patrizia Pucci
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Advanced Nonlinear Studies, 2021 This paper establishes pointwise estimates up to boundary for the gradient of weak solutions to a class of very singular quasilinear elliptic equations with mixed ...
Do Tan Duc +2 more
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