A limit equation and bifurcation diagrams of semilinear elliptic equations with general supercritical growth

2017/11/09 by Yasuhito Miyamoto · 6 citations
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Nonlinear Differential Equations Analysis #Advanced Mathematical Modeling in Engineering

paper · doi:10.1016/j.jde.2017.10.034

Citations

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

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• Asymptotic Blow-up Behavior for the Semilinear Heat Equation with Super-exponential Nonlinearities
• Fractional semilinear heat equations with singular and nondecaying initial data
• Multiplicity of singular solutions for semilinear elliptic equations with superlinear source terms