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 +2 more
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Advances in Nonlinear Analysis, 2020 We are concerned with the following quasilinear elliptic equation −Δu−Δ(u2)u=μ|u|q−2u+|u|2⋅2∗−2u,u∈H01(Ω), $$\begin{array}{} \displaystyle -{\it\Delta} u-{\it\Delta}(u^{2})u=\mu |u|^{q-2}u+|u|^{2\cdot 2^*-2}u, u\in H_0^1({\it\Omega}), \end{array}$$(QSE ...
X. Fang, Jianjun Zhang
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On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations
International Journal of Mathematics and Mathematical Sciences, 2006 Our goal is to establish the theorems of existence and multiple of positive entire solutions for a class quasilinear elliptic equations in ℝN with the Schauder-Tychonoff fixed point theorem as the principal tool.
Yang Zuodong
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Existence and Asymptotic Behavior for the Ground State of Quasilinear Elliptic Equations
, 2018 Xiaoyu Zeng, Yimin Zhang
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Lorentz–Morrey global bounds for singular quasilinear elliptic equations with measure data [PDF]
Communications in Contemporary Mathematics, 2018 The aim of this paper is to present the global estimate for gradient of renormalized solutions to the following quasilinear elliptic problem: [Formula: see text] in Lorentz–Morrey spaces, where [Formula: see text] ([Formula: see text]), [Formula: see ...
Minh‐Phuong Tran, Thanh‐Nhan Nguyen
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Quasilinear Equations via Elliptic Regularization Method
Advanced Nonlinear Studies, 2013 Abstract In this paper we study a class of quasilinear problems, in particular we deal with multiple sign-changing solutions of quasilinear elliptic equations. We further develop an approach used in our earlier work by exploring elliptic regularization. The method works well in studying multiplicity and nodal property of solutions.
Liu, Jia-Quan +2 more
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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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Regularity estimates in weighted Morrey spaces for quasilinear elliptic equations [PDF]
Revista matemática iberoamericana, 2018 We study regularity for solutions of quasilinear elliptic equations of the form $\div \A(x,u,\nabla u) = \div \F $ in bounded domains in $\R^n$. The vector field $\A$ is assumed to be continuous in $u$, and its growth in $\nabla u$ is like that of the $p$
Giuseppe Di Fazio, Truyen V. Nguyen
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Quasilinear elliptic equations with VMO coefficients [PDF]
Transactions of the American Mathematical Society, 1995 Strong solvability and uniqueness in Sobolev space W 2 , n ( Ω ) {W^{2,n}}(\Omega ) are proved for the Dirichlet problem \[ { u =
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Quasilinear Elliptic Equations with Singular Nonlinearity
Advanced Nonlinear Studies, 2016 Abstract In this paper, motivated by recent works on the study of the equations which model electrostatic MEMS devices, we study the quasilinear elliptic equation (Pλ) {
João Marcos do Ó, Esteban da Silva
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