Bifurcation analysis of the Hardy-Sobolev equation
From MaRDI portal
Publication:2040141
DOI10.1016/J.JDE.2021.06.012zbMath1468.35016arXiv2009.04195OpenAlexW3176647440MaRDI QIDQ2040141
Francesca Gladiali, Jean-Baptiste Castéras, Denis Bonheure
Publication date: 12 July 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.04195
Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items (3)
On some weighted fourth-order equations ⋮ Classification and non-degeneracy of positive radial solutions for a weighted fourth-order equation and its application ⋮ Some weighted fourth-order Hardy-Hénon equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sobolev inequalities for the Hardy-Schrödinger operator: extremals and critical dimensions
- Nondegeneracy of positive solutions to nonlinear Hardy-Sobolev equations
- The effect of curvature on the best constant in the Hardy-Sobolev inequalities
- Symmetry and nonexistence of low Morse index solutions in unbounded domains
- A global bifurcation result for a semilinear elliptic equation
- Symmetry and asymmetry: the method of moving spheres
- Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
- Classification of solutions of some nonlinear elliptic equations
- Global breaking of symmetry of positive solutions on two-dimensional annuli
- Best constant in Sobolev inequality
- Perturbation of \(\Delta u+u^{(N+2)/(N-2)}=0\), the scalar curvature problem in \(\mathbb{R}^N\), and related topics
- The Hardy-Schrödinger operator with interior singularity: the remaining cases
- Entire radial and nonradial solutions for systems with critical growth
- On the indices of fixed points of mappings in cones and applications
- Perturbation results of critical elliptic equations of Caffarelli-Kohn-Nirenberg type.
- On positive entire solutions to a class of equations with a singular coefficient and critical exponent
- A note on higher order fractional Hardy-Sobolev inequalities
- On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE's
- Nonradial sign changing solutions to Lane-Emden problem in an annulus
- Hardy-singular boundary mass and Sobolev-critical variational problems
- Separation of branches of \(O(N-1)\)-invariant solutions for a semilinear elliptic equation
- The multiplicity of positive solutions to a quasilinear equation generated by the Il'in-Caffarelli-Cohn-Nirenberg inequality
- Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces
- Bifurcation and symmetry-breaking
- Complete classification and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications
- Nonradial Solutions to Critical Elliptic Equations of Caffarelli–Kohn–Nirenberg Type
- On the Best Constant for a Weighted Sobolev-Hardy Inequality
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities
- Global and local behavior of positive solutions of nonlinear elliptic equations
- Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities
- Approximation Theory and Harmonic Analysis on Spheres and Balls
- A tool for symmetry breaking and multiplicity in some nonlocal problems
- On the Hardy–Sobolev equation
This page was built for publication: Bifurcation analysis of the Hardy-Sobolev equation