Generalized Joseph-Lundgren exponent and intersection properties for supercritical quasilinear elliptic equations

DOI10.1007/s00013-016-0969-0zbMath1364.35099OpenAlexW2517100753MaRDI QIDQ512283

Yasuhito Miyamoto, Kazune Takahashi

Publication date: 24 February 2017

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-016-0969-0

zbMATH Keywords

radial solutionsintersection numbersquasilinear elliptic equationssingular solutions

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Bifurcations in context of PDEs (35B32) Quasilinear elliptic equations (35J62)

Related Items (8)

Intersection properties for singular radial solutions of quasilinear elliptic equations with Hardy type potentials ⋮ Singular solutions to \(k\)-Hessian equations with fast-growing nonlinearities ⋮ A limit equation and bifurcation diagrams of semilinear elliptic equations with general supercritical growth ⋮ Ordering properties of radial ground states and singular ground states of quasilinear elliptic equations ⋮ Perturbations of planar quasilinear differential systems ⋮ Multiplicity of bounded solutions to the \(k\)-Hessian equation with a Matukuma-type source ⋮ Type II blow-up mechanisms in a semilinear heat equation with critical Joseph-Lundgren exponent ⋮ Separation phenomena of radial solutions to the Lane-Emden equation on non-compact Riemannian manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Intersection properties of radial solutions and global bifurcation diagrams for supercritical quasilinear elliptic equations
• Phase plane analysis for radial solutions to supercritical quasilinear elliptic equations in a ball
• The Liouville-Bratu-Gelfand problem for radial operators
• Structure of the positive solutions for supercritical elliptic equations in a ball
• Local and global behaviour of solutions of quasilinear equations of Emden-Fowler type
• Quasilinear elliptic equations with critical exponents
• Semi-stable and extremal solutions of reaction equations involving the \(p\)-Laplacian
• Quasilinear Dirichlet problems driven by positive sources
• On the stability and instability of positive steady states of a semilinear heat equation in ℝn
• On the Cauchy Problem for Reaction-Diffusion Equations
• On Nonexistence of type II blowup for a supercritical nonlinear heat equation

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