Multiplicity of singular solutions for semilinear elliptic equations with superlinear source terms
Abstract
We investigate the singular solutions for the nonlinear elliptic equation $$-\Delta u =f(u)$$ near the origin, and generalize the known multiplicity results for the model nonlinearity $$f(u)=u^p$$ with $$\frac{N}{N-2}
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Nonlinear Differential Equations Analysis
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Calculus of Variations and Partial Differential Equations
- Volume
- 65
- Issue
- 3
- Publication date
- 17 February 2026
- Language
- EN