Results 161 to 170 of about 14,259 (205)

Quasilinear Elliptic Equations with Morrey Data

Proceeding of the Bulgarian Academy of Sciences, 2013
We obtain global essential boundedness and Holder continuity of the weak solutions to quasilinear elliptic equations in divergence form with data lying in Morrey spaces.
BYUN S. S., PALAGACHEV, Dian Kostadinov
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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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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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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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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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Variational bifurcation for quasilinear elliptic equations

Calculus of Variations and Partial Differential Equations, 2003
The purpose of the paper is to extend Rabinowitz's theorem to a quasi-linear eigenvalue problem of the form \[ \begin{aligned} &(\lambda,u)\in \mathbb R\times H_0^1(\Omega),\\ &\int_\Omega \sum a_{ij}(x,u) D_iuD_jw\,dx+ \tfrac12 \int_\Omega D_sa_{ij}(x,u)D_iu D_jw\,dx- \int_\Omega g(x,u)w\,dx= \lambda\int_\Omega uw\,dw,\\ &\forall w\in H_0^1(\Omega ...
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Quasilinear elliptic equations at critical growth

NoDEA : Nonlinear Differential Equations and Applications, 1998
\noindent The authors study existence of positive functions \(u \in H^1_0(\Omega)\) satisfying (in the distributional sense) the quasilinear elliptic equation \[ -\sum_{i,j = 1}^{N} D_j(a_{ij}(x,u)D_i u) + \frac{1}{2} \sum_{i=1}^{N} \frac{\partial a_{ij}}{\partial s}(x,u) D_i u D_j u = g(x,u) + |u|^{2^{*} - 2} u\quad \text{in }\Omega \] where \(\Omega \
ARIOLI, GIANNI, GAZZOLA, FILIPPO
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