Results 1 to 10 of about 208 (138)

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

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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Multiple solutions for a coercive quasilinear elliptic equation via Morse theory

Boundary Value Problems, 2021
We study the quasilinear elliptic problem which is resonant at zero. By using Morse theory, we obtain five nontrivial solutions for the equation with coercive nonlinearities.
Lifang Fu, Mingzheng Sun
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A new existence result for some nonlocal problems involving Orlicz spaces and its applications

Boundary Value Problems, 2022
This paper studies some quasilinear elliptic nonlocal equations involving Orlicz–Sobolev spaces. On the one hand, a new sub-supersolution theorem is proved via the pseudomonotone operator theory; on the other hand, using the obtained theorem, we present ...
Xiaohui Qiu, Baoqiang Yan
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The Calderón problem for quasilinear elliptic equations

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2020
In this paper we show uniqueness of the conductivity for the quasilinear Calderón's inverse problem. The nonlinear conductivity depends, in a nonlinear fashion, of the potential itself and its gradient. Under some structural assumptions on the direct problem, a real-valued conductivity allowing a small analytic continuation to the complex plane induce ...
Gunther Uhlmann, Claudio Muñoz
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Multiplicity of positive solutions for quasilinear elliptic equations involving critical nonlinearity

Advances in Nonlinear Analysis, 2020
We are concerned with the following quasilinear elliptic ...
Fang Xiangdong, Zhang Jianjun
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Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements

Comptes Rendus. Mathématique, 2023
We establish a Lipschitz stability inequality for the problem of determining the nonlinear term in a quasilinear elliptic equation by boundary measurements.
Choulli, Mourad
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Regularity Results for Quasilinear Elliptic Equations in the Plane [PDF]

Journal of Elliptic and Parabolic Equations, 2015
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De Cave, Linda Maria, D'Onofrio, Luigi, SCHIATTARELLA, ROBERTA   +2 more
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