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 “A spherical Harnack inequality for singular solutions of nonlinear elliptic equations”
Singular nonlinear elliptic equations in .
A Liouville-type theorem for elliptic systems
D. G. De Figueiredo, P. L. Felmer (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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A note on nonexistence of radial solutions to semilinear elliptic inequations.
Mohammed Guedda (2002)
Publicacions Matemàtiques
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We study the nonexistence result of radial solutions to -Δu + c u/(|x|) + |x||u|u ≤ 0 posed in B or in B {0} where B is the unit ball centered at the origin in R, N ≥ 3. Moreover, we give a complete classification of radial solutions to the problem -Δu + c u/(|x|) + |x||u|u = 0. In particular we prove that the latter has exactly one family of radial solutions.
A note about a priori estimates for indefinite problems in unbounded domains.
Jacques Giacomoni (2003)
RACSAM
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Multiple positive solutions of singular -Laplacian problems by variational methods.
Perera, Kanishka, Zhang, Zhitao (2005)
Boundary Value Problems [electronic only]
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On a Liouville type theorem for isotropic homogeneous fully nonlinear elliptic equations in dimension two
Jean Dolbeault, Régis Monneau (2003)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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In this paper we establish a Liouville type theorem for fully nonlinear elliptic equations related to a conjecture of De Giorgi in . We prove that if the level lines of a solution have bounded curvature, then these level lines are straight lines. As a consequence, the solution is one-dimensional. The method also provides a result on free boundary problems of Serrin type.
Existence and nonexistence of radial positive solutions of superlinear elliptic systems.
Abdelaziz Ahammou (2001)
Publicacions Matemàtiques
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The main goal in this paper is to prove the existence of radial positive solutions of the quasilinear elliptic system ⎧ -Δpu = f(x,u,v) in Ω, ⎨ -Δqv = g(x,u,v) in Ω, ⎩ u = v = 0 on ∂Ω, where Ω is a ball in RN and f, g are positive continuous functions satisfying f(x, 0, 0) = g(x, 0, 0) = 0 and some growth conditions which correspond, roughly...
Positive radial solutions for semilinear biharmonic equations in annular domains.
Robert Dalmasso (1993)
Revista Matemática de la Universidad Complutense de Madrid
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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.