Displaying similar documents to “Limit behaviour of singular solutions of some semilinear elliptic equations”

Multilevel correction adaptive finite element method for semilinear elliptic equation

Qun Lin, Hehu Xie, Fei Xu (2015)

Applications of Mathematics

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A type of adaptive finite element method is presented for semilinear elliptic problems based on multilevel correction scheme. The main idea of the method is to transform the semilinear elliptic equation into a sequence of linearized boundary value problems on the adaptive partitions and some semilinear elliptic problems on very low dimensional finite element spaces. Hence, solving the semilinear elliptic problem can reach almost the same efficiency as the adaptive method for the associated...

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.

Spatially heteroclinic solutions for a semilinear elliptic P.D.E.

Paul H. Rabinowitz (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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This paper uses minimization methods and renormalized functionals to find spatially heteroclinic solutions for some classes of semilinear elliptic partial differential equations