Results 1 to 10 of about 15,743 (200)

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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High precision compact numerical approximation in exponential form for the system of 2D quasilinear elliptic BVPs on a discrete irrational region [PDF]

MethodsX, 2022
This article presents a new approximation of order four in exponential form for two-dimensional (2D) quasilinear partial differential equation (PDE) of elliptic form with solution domain being irrational.
R.K. Mohanty, Nikita Setia, Gunjan Khurana, Geetan Manchanda   +3 more
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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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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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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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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, Maria S. Fanciullo, Pietro Zamboni   +2 more
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Up-to-Boundary Pointwise Gradient Estimates for Very Singular Quasilinear Elliptic Equations with Mixed Data

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, Truong Le Xuan, Trong Nguyen Ngoc   +2 more
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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 ...
Bidaut-Veron, Marie-Francoise, Borghol, Rouba, Veron, Laurent   +2 more
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On a Class of Quasilinear Elliptic Equations

Communications in Mathematical Research, 2023
Summary: We consider a class of quasilinear elliptic boundary problems, including the following Modified Nonlinear Schrödinger Equation as a special case: \[ \begin{cases} \Delta u+ \frac{1}{2} u \Delta (u^2) -V(x) u+|u|^{q -2} u=0\quad &\text{in } \Omega, \\ u=0\quad &\text{on }\partial \Omega, \end{cases} \] where \(\Omega\) is the entire space ...
Hashimi, Sayed Hamid, Wang, Zhi-Qiang, Zhang, Lin   +2 more
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