Large number of fast decay ground states to Matukuma-type equations

DOI10.1016/j.jde.2009.10.006zbMath1187.35077OpenAlexW2068684161MaRDI QIDQ846974

Salomón Alarcón, Alexander Quaas

Publication date: 16 February 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/141468

zbMATH Keywords

reduction methodbubble-tower solutionsMatukuma-type equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Semilinear elliptic equations (35J61) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (10)

Large number of bubble solutions for the equation \(\Delta u + K(y)u^{\frac{N + 2}{N - 2}\pm \varepsilon}=0\) on \(\mathbb{R}^N\) ⋮ On a diffusion model with absorption and production ⋮ Uncountable sets of finite energy solutions for semilinear elliptic problems in exterior domains ⋮ On integral equations of Matukuma type ⋮ Positive solutions for semilinear elliptic equations: Two simple models with several bifurcations ⋮ Multiplicity of bounded solutions to the \(k\)-Hessian equation with a Matukuma-type source ⋮ On the structure of radial solutions for some quasilinear elliptic equations ⋮ Multiplicity of ground states for the scalar curvature equation ⋮ Multiplicity of radial ground states for the scalar curvature equation without reciprocal symmetry ⋮ Multiplicity results for the scalar curvature equation

Cites Work

• Unnamed Item
• Structure of positive radial solutions of semilinear elliptic equations
• On the existence and symmetry properties of finite total mass solutions of the Matukuma equation, the Eddington equation and their generalizations
• On the complex structure of positive solutions to Matukuma-type equations
• Structure of positive radial solutions of Matukuma's equation
• On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in \({\mathbb{R}{}}^ n\). I: Asymptotic behavior
• On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in \({\mathbb{R}{}}^ n\). II: Radial symmetry
• Classification of the structure of positive radial solutions to \(\Delta u+K(| x|)u^ p=0\) in \(\mathbb{R}^ n\)
• On the positive solutions of the Matukuma equation
• Existence of positive radial solutions to \(\Delta u+K(| x| )u^ p=0\) in \(\mathbb R^ n\)
• ``Bubble-tower radial solutions in the slightly supercritical Brezis-Nirenberg problem.
• A resonance phenomenon for ground states of an elliptic equation of Emden--Fowler type.
• Ground states of semilinear elliptic equations: A geometric approach
• Global structure of positive solutions to equations of Matukuma type
• Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
• Structural change of solutions for a scalar curvature equation
• Uniqueness of positive radial solutions of \(\Delta u+K(| x|)\gamma(u)=0\).
• On the structure of positive radial solutions to an equation containing a \(p\)-Laplacian with weight
• ``Bubble-tower phenomena in a semilinear elliptic equation with mixed Sobolev growth
• UNIQUENESS AND GLOBAL STRUCTURE OF POSITIVE RADIAL SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS
• Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0
• A Counterexample to the Nodal Domain Conjecture and a Related Semilinear Equation
• Semilinear elliptic equations of Matukuma-type and related topics
• Blowing up with infinite energy of conformal metrics on Sⁿ
• Radial solutions for a quasilinear equation via Hardy inequalities.

This page was built for publication: Large number of fast decay ground states to Matukuma-type equations