Structure of the positive solutions for supercritical elliptic equations in a ball

DOI10.1016/J.MATPUR.2014.02.002zbMath1311.35116OpenAlexW1983028637MaRDI QIDQ741491

Yasuhito Miyamoto

Publication date: 12 September 2014

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2014.02.002

zbMATH Keywords

singular solutionbifurcation diagraminfinitely many turning pointsJoseph-Lundgren exponent

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Critical exponents in context of PDEs (35B33) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (9)

Intersection properties of radial solutions and global bifurcation diagrams for supercritical quasilinear elliptic equations ⋮ Intersection properties for singular radial solutions of quasilinear elliptic equations with Hardy type potentials ⋮ The Emden-Fowler equation on a spherical cap of \(\mathbb{S}^n\) ⋮ Singular extremal solutions for supercritical elliptic equations in a ball ⋮ A limit equation and bifurcation diagrams of semilinear elliptic equations with general supercritical growth ⋮ Singular solutions for semilinear elliptic equations with general supercritical growth ⋮ Fundamental properties and asymptotic shapes of the singular and classical radial solutions for supercritical semilinear elliptic equations ⋮ Generalized Joseph-Lundgren exponent and intersection properties for supercritical quasilinear elliptic equations ⋮ Classification of bifurcation diagrams for elliptic equations with exponential growth in a ball

Cites Work

• Unnamed Item
• Regularity of radial minimizers and extremal solutions of semilinear elliptic equations
• Symmetry and related properties via the maximum principle
• Semilinear elliptic equations and supercritical growth
• Blow up for \(u_ t- \Delta u=g(u)\) revisited
• Bifurcation from simple eigenvalues
• Quasilinear Dirichlet problems driven by positive sources
• Global solution branch and Morse index estimates of a semilinear elliptic equation with super-critical exponent
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Geometry of phase space and solutions of semilinear elliptic equations in a ball
• Positive solutions of elliptic equations involving supercritical growth
• Uniqueness Of Positive Solutions Of In A Ball
• Solution curves for semilinear equations on a ball

This page was built for publication: Structure of the positive solutions for supercritical elliptic equations in a ball