On semilinear elliptic equations with borderline Hardy potentials
From MaRDI portal
Publication:464297
DOI10.1007/s11854-014-0022-9zbMath1303.35027arXiv1209.4852OpenAlexW2008048074MaRDI QIDQ464297
Alberto Ferrero, Veronica Felli
Publication date: 17 October 2014
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.4852
Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Semilinear elliptic equations (35J61)
Related Items
Isolated singularities for elliptic equations with Hardy operator and source nonlinearity, Unique continuation from the edge of a crack, Fundamental solutions for Schrödinger operators with general inverse square potentials, Orbital stability for the Schrödinger operator involving inverse square potential, Structure results for semilinear elliptic equations with Hardy potentials, A critically degenerate elliptic Dirichlet problem, spectral theory and bifurcation, On global estimates for Poisson problems with critical singular potentials, The Poisson problem for the fractional Hardy operator: Distributional identities and singular solutions, Asymptotic expansions and unique continuation at Dirichlet-Neumann boundary junctions for planar elliptic equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local behaviour of singular solutions for nonlinear elliptic equations in divergence form
- On the behavior at collisions of solutions to Schrödinger equations with many-particle and cylindrical potentials
- Sharp nonexistence results for a linear elliptic inequality involving Hardy and Leray potentials
- Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential
- A nonlinear elliptic PDE with the inverse square potential.
- On the behavior of solutions to Schrödinger equations with dipole type potentials near the singularity
- A property of measures in \(\mathbb{R}{}^ N\) and an application to unique continuation
- Remarks on the Schrödinger operator with singular complex potentials
- The role played by space dimension in elliptic critical problems
- Bounds for the best constant in an improved Hardy-Sobolev inequality
- The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential
- On positive entire solutions to a class of equations with a singular coefficient and critical exponent
- A note on local asymptotics of solutions to singular elliptic equations via monotonicity methods
- A borderline case in elliptic problems involving weights of Caffarelli-Kohn-Nirenberg type
- On a semilinear elliptic equation with inverse-square potential
- An improved Hardy-Sobolev inequality and its application
- Almgren-type monotonicity methods for the classification of behaviour at corners of solutions to semilinear elliptic equations
- On the best possible remaining term in the Hardy inequality
- Asymptotic behavior of solutions to semilinear elliptic equations with Hardy potential
- A unique continuation theorem for the Schrödinger equation with singular magnetic field
- Series expansion for L^p Hardy inequalities
- On the Caffarelli–Kohn–Nirenberg inequalities
- 𝑄 valued functions minimizing Dirichlet’s integral and the regularity of area minimizing rectifiable currents up to codimension two
- Existence of solutions for singular critical growth semilinear elliptic equations