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On Some Quasilinear Elliptic Equations

open access: yesOn Some Quasilinear Elliptic Equations
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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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