Singular nonlinear elliptic equations in .
Alves, C.O., Goncalves, J.V., Maia, L.A. (1998)
Abstract and Applied Analysis
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Displaying similar documents to “Uniqueness of solutions for some elliptic equations with a quadratic gradient term”
Singular nonlinear elliptic equations in .
Fully nonlinear second order elliptic equations : recent development
Nicolai V. Krylov (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Solvability of quasilinear elliptic equations with strong dependence on the gradient.
Žubrinić, Darko (2000)
Abstract and Applied Analysis
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Remarks on the maximum principle for nonlinear elliptic PDEs with quadratic growth conditions
Guy Barles, Alain-Philippe Blanc, Christine Georgelin, Magdalena Kobylanski (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On existence of a unique generalized solution to systems of elliptic PDEs at resonance
Tiantian Qiao, Weiguo Li, Kai Liu, Boying Wu (2014)
Annales Polonici Mathematici
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The Dirichlet boundary value problem for systems of elliptic partial differential equations at resonance is studied. The existence of a unique generalized solution is proved using a new min-max principle and a global inversion theorem.
Nonzero and positive solutions of a superlinear elliptic system
Mario Zuluaga Uribe (2001)
Archivum Mathematicum
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In this paper we consider the existence of nonzero solutions of an undecoupling elliptic system with zero Dirichlet condition. We use Leray-Schauder Degree Theory and arguments of Measure Theory. We will show the existence of positive solutions and we give applications to biharmonic equations and the scalar case.
On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type
Michal Křížek, Liping Liu (1996)
Applicationes Mathematicae
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A nonlinear elliptic partial differential equation with the Newton boundary conditions is examined. We prove that for greater data we get a greater weak solution. This is the so-called comparison principle. It is applied to a steady-state heat conduction problem in anisotropic magnetic cores of large transformers.
Multiplicity of solutions for a singular p-laplacian elliptic equation
Wen-shu Zhou, Xiao-dan Wei (2010)
Annales Polonici Mathematici
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The existence of two continuous solutions for a nonlinear singular elliptic equation with natural growth in the gradient is proved for the Dirichlet problem in the unit ball centered at the origin. The first continuous solution is positive and maximal; it is obtained via the regularization method. The second continuous solution is zero at the origin, and follows by considering the corresponding radial ODE and by sub-sup solutions method.