On the positive radial solutions of a class of singular semilinear elliptic equations
From MaRDI portal
Publication:432438
DOI10.1016/j.jde.2012.02.017zbMath1247.35039OpenAlexW1989252791MaRDI QIDQ432438
Publication date: 4 July 2012
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2012.02.017
asymptotic behaviorpositive solutionelliptic equationCaffarelli-Kohn-Nirenberg inequalityseparation propertyHardy equation
Asymptotic behavior of solutions to PDEs (35B40) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Singular elliptic equations (35J75)
Related Items
Sobolev type embedding and weak solutions with a prescribed singular set, A unified approach to symmetry for semilinear equations associated to the Laplacian in \(\mathbb{R}^N\), Strong instability of standing waves for the divergence Schrödinger equation with inhomogeneous nonlinearity, Embeddings of weighted Sobolev spaces and degenerate elliptic problems, Positive symmetric solutions for a class of critical quasilinear elliptic problems in \(\mathbb R^N\), Further study of a weighted elliptic equation, On a weighted Lane–Emden system, Separation phenomena of radial solutions to the Lane-Emden equation on non-compact Riemannian manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the stability of the positive steady states for a nonhomogeneous semilinear Cauchy problem
- On the semistability of the minimal positive steady state for a nonhomogeneous semilinear Cauchy problem
- On conformal scalar curvature equations in \({\mathbb{R}}^ n\)
- Positive entire solutions of the equation \(\Delta{}u+f(x,u)=0\)
- Separation structure of positive radial solutions of a semilinear elliptic equation in \(\mathbf R^n\)
- Separation property of solutions for a semilinear elliptic equation
- Infinite multiplicity of positive entire solutions for a semilinear elliptic equation
- Asymptotic behavior of positive solutions of inhomogeneous semilinear elliptic equations
- On a class of semilinear elliptic equations in \(\mathbb{R}^n\)
- Infinite multiplicity and separation structure of positive solutions for a semilinear elliptic equation in \(\mathbb R^n\)
- On the structure of positive radial solutions to an equation containing a \(p\)-Laplacian with weight
- A note on the positive solutions of an inhomogeneous elliptic equation on \(\mathbb R^n\)
- Existence and asymptotic behavior of positive solutions for an inhomogeneous semilinear elliptic equation
- Quasilinear Dirichlet problems driven by positive sources
- Semilinear elliptic equations of Matukuma-type and related topics
- 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 positive entire solutions of the elliptic equation Δu + K(x)up = 0 and its applications to Riemannian geometry
- Existence and infinite multiplicity for an inhomogeneous semilinear elliptic equation on \(\mathbb R^n\)