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,
Jia, Huilian, Lai, Mijia, Yao, Fengping
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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 critical potentials [PDF]
Advances in Nonlinear Analysis, 2017 We study Liouville theorems for problems of the ...
D’Ambrosio Lorenzo, Mitidieri Enzo
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Existence of Solutions for Quasilinear Elliptic Equations
Journal of Mathematical Analysis and Applications, 1997 Let \(\Omega\) be a bounded domain in \(\mathbb{R}^N\) with smooth boundary \(\partial\Omega\). The author uses variational methods to deduce sufficient conditions for the existence and multiplicity of weak solutions of the quasilinear Dirichlet problem: \[ -\text{div} \biggl(a \bigl(|\nabla u|^p \bigr)|\nabla u|^{p-2} \nabla u\biggr) =f(x,u) \quad ...
João Marcos do Ó
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CONCAVITY, QUASICONCAVITY, AND QUASILINEAR ELLIPTIC EQUATIONS [PDF]
Taiwanese Journal of Mathematics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
John McCuan
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The Existence of Entropy Solutions for an Elliptic Problems Involving Variable Exponent
Journal of Harbin University of Science and Technology, 2022 In order to study the entropy solution of a class of quasilinear elliptic equations with variable exponents, first, the approximation problem of elliptic equations is established under weak operator conditions, and then the Sobolev embedding theorem ...
LU Yue-ming, LIU Yang
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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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Quasilinear elliptic equations with critical exponents [PDF]
Topological Methods in Nonlinear Analysis, 1996 The authors study, in a major step of this paper, the following class of quasilinear elliptic problems \[ Lu = \lambda r^{\delta} |u|^{\beta} u + r^{\gamma} |u|^{q - 2}u \text{ in } (0,R),\quad u > 0 \text{ in } (0,R),\;u''(0) = u(R) = 0 \tag{\(Q_\lambda\)} \] with \(Lu \equiv - (r^{\alpha} |u'|^{\beta}u')^{'} \), where \(\lambda \geq 0\) is a ...
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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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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