A bifurcation diagram of solutions to semilinear elliptic equations with general supercritical growth

2024/06/27 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.2024.06.026

Citations

• Solution curves for semilinear equations on a ball
• Semilinear elliptic equations and supercritical growth
• Quasilinear Dirichlet problems driven by positive sources
• A limit equation and bifurcation diagrams of semilinear elliptic equations with general supercritical growth
• Singular extremal solutions for supercritical elliptic equations in a ball

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• Asymptotic formulas for L² bifurcation curves of nonlocal logistic equation of population dynamics
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• Infinite concentration and oscillation estimates for supercritical semilinear elliptic equations in discs. I