Multiplicity of solutions for a singular p-laplacian elliptic equation

• Autorzy: Wen-shu Zhou , Xiao-dan Wei
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35J25: Boundary value problems for second-order elliptic equations
• 35J75: Singular elliptic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 99
• Numer: 2
• Strony: 157-180

Daty

wydano

2010

Twórcy

autor

Wen-shu Zhou

• Department of Mathematics, Dalian Nationalities University, 116600 Dalian, P.R. China

autor

Xiao-dan Wei

• Department of Mathematics, Dalian Nationalities University, 116600 Dalian, P.R. China

Identyfikatory

DOI

10.4064/ap99-2-4