On the complex structure of positive solutions to Matukuma-type equations
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Publication:1030141
DOI10.1016/J.ANIHPC.2008.03.006zbMath1175.35051OpenAlexW2069110083MaRDI QIDQ1030141
Alexander Quaas, Moxun Tang, Patricio L. Felmer
Publication date: 1 July 2009
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/78871
Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)
Related Items (10)
Large number of fast decay ground states to Matukuma-type equations ⋮ Nodal solutions for supercritical Laplace equations ⋮ Radial solutions for Hénon type fully nonlinear equations in annuli and exterior domains ⋮ 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 ⋮ Uniqueness of finite total curvatures and the structure of radial solutions for nonlinear elliptic equations ⋮ 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 results for the scalar curvature equation
Cites Work
- 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
- 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 \(\mathbb R^ n\)
- On critical exponents for the Pucci's extremal operators.
- 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
- 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
- Radial solutions for a quasilinear equation via Hardy inequalities.
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