Singular extremal solutions for supercritical elliptic equations in a ball

2018/05/03 by Yasuhito Miyamoto, Yūki Naito · 4 citations
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Nonlinear Differential Equations Analysis

paper · doi:10.1016/j.jde.2018.04.055

Citations

• Solution curves for semilinear equations on a ball
• Semilinear elliptic equations and supercritical growth
• Quasilinear Dirichlet problems driven by positive sources

Cited by

• A limit equation and bifurcation diagrams of semilinear elliptic equations with general supercritical growth
• A bifurcation diagram of solutions to semilinear elliptic equations with general supercritical growth
• Asymptotic formulas for L² bifurcation curves of nonlocal logistic equation of population dynamics
• Thresholds on growth of nonlinearities and singularity of initial functions for semilinear heat equations
• Multiplicity of singular solutions for semilinear elliptic equations with superlinear source terms