Results 231 to 240 of about 89,789 (287)

BIFURCATIONS FOR QUASILINEAR ELLIPTIC EQUATIONS, II

Communications in Contemporary Mathematics, 2008
This paper is concerned with bifurcation solutions of quasilinear elliptic problems. Our results generalize some earlier work, in particular, a similar type of result found in [3] where an additional structural condition is required to be imposed and the result in [11] where bifurcations in terms of the radius of the solutions were considered.
Liu, Jia-Quan, Wang, Zhi-Qiang
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Positive Solutions of Quasilinear Elliptic Equations

Mathematical Notes, 2005
The author studies the existence of radially symmetric solutions of the problem \[ -\Delta_p \varphi = \lambda\varphi^q - | \nabla\varphi| ^s \quad\text{in}\quad B, \qquad \varphi > 0 \quad\text{in}\quad B, \qquad \varphi = 0 \quad\text{on}\quad \partial B, \tag \(*\) \] where \(\Delta_p\varphi = \text{div}(| \nabla\varphi| ^{p-2}\nabla\varphi)\), \(p ...
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Landesman-lazer conditions and quasilinear elliptic equations

Nonlinear Analysis: Theory, Methods & Applications, 1997
The quasilinear elliptic boundary value problem \[ -\Delta_p u=\lambda_1 |u|^{p-2} u+f(x,u)- h\text{ in } \Omega, \quad u=0 \text{ on } \partial\Omega \] is studied, where \(\Omega\subset \mathbb{R}^N\) is a smooth bounded domain, \(p>1\), \(\Delta_p u= \text{div} (|\nabla u|^{p-2} \nabla u)\) is the \(p\)-Laplacian, \(f(x,s)\) is a bounded ...
D. ARCOYA, ORSINA, Luigi
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Theorems on Existence and Global Dynamics for the Einstein Equations [PDF]

Living Reviews in Relativity, 2005
Rendall AD.
exaly   +2 more sources

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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Lions-Type Properties for the p-Laplacian and Applications to Quasilinear Elliptic Equations

Journal of Geometric Analysis, 2023
Zhaosheng Feng, Yuhua Su
semanticscholar   +1 more source

Regularity for quasilinear degenerate elliptic equations

Mathematische Zeitschrift, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DI FAZIO, Giuseppe, ZAMBONI, Pietro
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THE EIGENVALUE PROBLEM OF QUASILINEAR ELLIPTIC EQUATION

Acta Mathematica Scientia, 1991
The nonlinear eigenvalue problem \(-\Delta_ p u+\lambda| u|^{p-2}u=f(x,u)\) in \(\mathbb{R}^ N\), with \(u\in W^{1,p}(\mathbb{R}^ N)\) is studied in this paper. Here \(p>1\), \(\lambda\) is a real parameter, and \(\Delta_ p u=\text{div}(|\nabla u|^{p-2}\nabla u)\) is the so-called \(p\)-Laplacian.
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High-resolution half-step compact numerical approximation for 2D quasilinear elliptic equations in vector form and the estimates of normal derivatives on an irrational domain

Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2021
Ishaani Priyadarshini, R. K. Mohanty
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Global bifurcation for quasilinear elliptic equations

Nonlinear Analysis: Theory, Methods & Applications, 1997
Rabinowitz's global bifurcation theorem has been extended to the equation \[ -\text{div} \bigl(| \nabla u|^{p-2} \nabla u\bigr) =f(\lambda,x,u)\quad \text{in }\Omega, \quad u=0 \quad \text{on } \partial\Omega \] by many authors. In this paper, the left hand side operator is generalized to \(-\text{div} (\varphi(|\nabla u|) \nabla u)\), where \(\varphi ...
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