Results 71 to 80 of about 208 (138)

Eigenvalue Problems of a Degenerate Quasilinear Elliptic Equation

Rocky Mountain Journal of Mathematics, 2010
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Existence of solutions to $p$-Laplacian equations involving general subcritical growth

Electronic Journal of Differential Equations, 2014
In this article, we consider the quasilinear elliptic equation $-\Delta_p u=\mu f(x,u)$ with the Dirichlet boundary coditions, and under suitable growth condition on the nonlinear term f.
Yong-Yi Lan
doaj  

Calderón-Zygmund estimates for Schrödinger equations revisited

Mathematical Modelling and Analysis
We establish a global Calderón-Zygmund estimate for a quasilinear elliptic equation with a potential. If the potential has a reverse Hölder property, then the estimate was known in [6].
Le Xuan Truong, Nguyen Ngoc Trong, Tan Duc Do   +2 more
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Potential theory for quasiliniear elliptic equations

Electronic Journal of Differential Equations, 2001
We discuss the potential theory associated with the quasilinear elliptic equation $$ -{ m div}(A(x,abla u))+B(x,u)=0. $$ We study the validity of Bauer convergence property, the Brelot convergence property.
Azeddine Baalal, A. Boukricha
doaj  

Regularity of a Class of Quasilinear Degenerate Elliptic Equations

Advances in Mathematics, 1997
The author studies the \(C^\infty\) regularity for some nonlinear degenerate equations of type \[ \sum^N_{i,j=1} \partial_j(a_{ij} (x,u) \partial_iu) =f. \]
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Quasilinear elliptic equations with quadratic growth in the gradient

Journal of Differential Equations, 1992
The authors wish to establish existence of a solution \(u:\Omega\to\mathbb{R}\) \((\Omega\) open bounded subset of \(\mathbb{R}^ n)\) such that: \(u\in H^ 1_ 0(\Omega)\cap L^ \infty(\Omega)\) and satisfies \[ Au(x)=-\sum^ n_{i,j=1}\partial_ i(a_{ij}(x))\partial_ ju=H(x,u,Du) \tag{1} \] where \(A\) is elliptic, \(a_{ij}(x)\) are measureable functions ...
MADERNA C., PAGANI, CARLO DOMENICO, SALSA, SANDRO   +2 more
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On the oscillation of second order quasilinear elliptic equations

Mathematical and Computer Modelling, 2006
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Positive solutions of higher order quasilinear elliptic equations

Abstract and Applied Analysis, 2002
The higher order quasilinear elliptic equation −Δ(Δp(Δu))=f(x,u) subject to Dirichlet boundary conditions may have unique and regular positive solution. If the domain is a ball, we obtain a priori estimate to the radial solutions via blowup.
Marcelo Montenegro
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Higher Integrability of Weak Solutions to a Class of Double Obstacle Systems

Journal of Mathematics, 2013
We first introduce double obstacle systems associated with the second-order quasilinear elliptic differential equation div(A(x,∇u))=div f(x,u), where A(x,∇u), f(x,u) are two n×N matrices satisfying certain conditions presented in the context, then ...
Zhenhua Hu, Shuqing Zhou
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Entire radial bounded solutions for Leray-Lions equations of (p, q)-type

Advances in Nonlinear Analysis
We prove the existence of entire, radial, and signed bounded solutions for a quasilinear elliptic equation in RN{{\mathbb{R}}}^{N} driven by a Leray-Lions operator of the (p, q)-type.
Mennuni Federica, Mugnai Dimitri, Salvatore Addolorata   +2 more
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