Displaying similar documents to “Multiple positive solutions of singular p -Laplacian problems by variational methods.”

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.

Singular Dirichlet Problems with Quadratic Gradient

Pedro J. Martínez-Aparicio (2009)

Bollettino dell'Unione Matematica Italiana

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We study the existence of solution for nonlinear elliptic problems with singular lower order terms that have natural growth with respect to the gradient.