Results 101 to 110 of about 208 (138)

Isolated Singularities of Solutions to Quasilinear Elliptic Equations

Potential Analysis, 2007
The authors study the removability of singularities for quasilinear elliptic equations. They show optimal results in this direction assuming the lower order terms of the equation to belong to a non-linear version of the Stummel-Kato class. Moreover, they give an example to show the sharpness of their result.
Liskevich, Vitali, Skrypnik, I. I.
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On the Natural Growth Quasilinear Elliptic Euler Equations

Journal of Partial Differential Equations, 1991
Summary: We consider the eigenvalue problem and the Dirichlet problem of general Euler equations under the natural growth condition.
Shen, Yaotian, Ma, Runian
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ON THE WEAK HARNACK INEQUALITY FOR QUASILINEAR ELLIPTIC EQUATIONS

Mathematics of the USSR-Sbornik, 1986
Translation from Mat. Sb., Nov. Ser. 125(167), No.3(11), 332-346 (Russian) (1984; Zbl 0578.35089).
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Existence of Large Solutions for Quasilinear Elliptic Equation

Communications in Mathematics and Applications, 2011
Summary: We consider the problem \[ \begin{cases} -\mathrm{div}(|\nabla u|^{p-2}\nabla u)=\lambda u-b(x)h(u),&x\in\Omega,\\ u=+\infty,&\text{ on }\;\partial\Omega, \end{cases} \] where \(\Omega\) is a smooth bounded domain in \(\mathbb{R}^N\). The weight function \(b(x)\) is a non-negative continuous function in the domain, \(h(u)\) is locally ...
Li, Xiao, Yang, Zuodong
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The Boundedness for Generalized Solutions of Quasilinear Elliptic Equations

Journal of Partial Differential Equations, 1991
Let \(G\) be a bounded domain in \(E^ n\) and \(p>1\). Consider the following elliptic equation \[ \int_ G\{\nabla v\cdot A(x,u,\nabla u)+vB(x,u,\nabla u)\}dx=0,\quad\forall v\in{\overset\circ W^ 1_ p}(G)\cap L_ \infty(G), \tag{1} \] where \(A(x,u,\xi)\) and \(B(x,u,\xi)\) are defined on \(G\times E^ 1\times E^ n\), continuous in \(u\) and \(\xi\) for ...
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THE EXISTENCE OF MULTIPLE SOLUTIONS TO QUASILINEAR ELLIPTIC EQUATIONS

Bulletin of the London Mathematical Society, 2005
Summary: Using Morse theory and the truncation technique, a proof is given of the existence of at least three nontrivial solutions for a class of \(p\)-Laplacian equations. When \(p=2\), the existence of four nontrivial solutions is also considered.
Liu, Jiaquan, Liu, Shibo
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Dirichlet Problem for a Class of Quasilinear Elliptic Equations

Mathematical Notes, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Oscillation Theorems for Quasilinear Elliptic Differential Equations

Acta Mathematica Sinica, English Series, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON REMOVABLE SINGULAR SETS FOR QUASILINEAR ELLIPTIC EQUATIONS

Russian Academy of Sciences. Sbornik Mathematics, 1995
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QUASILINEAR ELLIPTIC AND PARABOLIC EQUATIONS OF ARBITRARY ORDER

Russian Mathematical Surveys, 1968
This paper is a survey of recent results on the solution of boundary value problems for quasilinear elliptic and parabolic equations of order 2m, of divergent form. The main results in this direction were first obtained in 1961 by Vishik, Browder, the author and others, and are presented in the first part of the paper.
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