Existence and non-degeneracy of positive multi-bubbling solutions to critical elliptic systems of Hamiltonian type
From MaRDI portal
Publication:2694243
DOI10.1016/j.jde.2023.01.024OpenAlexW4318477807MaRDI QIDQ2694243
Junyuan Liu, Qing Guo, Shuangjie Peng
Publication date: 28 March 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.15719
Partial differential equations of mathematical physics and other areas of application (35Qxx) Elliptic equations and elliptic systems (35Jxx) Qualitative properties of solutions to partial differential equations (35Bxx)
Related Items
Cites Work
- Unnamed Item
- Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case
- On elliptic systems with Sobolev critical growth
- Prescribing Gaussian curvature on \(S^ 2\)
- The scalar-curvature problem on the standard three-dimensional sphere
- The concentration-compactness principle in the calculus of variations. The limit case. I
- Multiple bound states of nonlinear Schrödinger systems
- Infinitely many solutions for the prescribed scalar curvature problem on \(\mathbb S^N\)
- A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system
- Multipulse phases in k-mixtures of Bose-Einstein condensates
- On the elliptic equation \(\Delta u+Ku^{(n+2)/(n-2)}=0\) and related topics
- A perturbation result in prescribing scalar curvature on \(S^ n\)
- Variational identities and applications to differential systems
- An ODE approach to the equation \(\Delta u + Ku^{{n+2}\over{n-2}}=0\) in \(\mathbb{R}^ n\)
- Perturbation of \(\Delta u+u^{(N+2)/(N-2)}=0\), the scalar curvature problem in \(\mathbb{R}^N\), and related topics
- Prescribing scalar curvature on \(\mathbb{S}^ 3\), \(\mathbb{S}^ 4\) and related problems
- Concentration of solutions for the scalar curvature equation on \(\mathbb{R}^n\)
- Prescribing scalar curvature on \(S^ N\). I: A priori estimates.
- On the existence of positive solutions of a perturbed Hamiltonian system in \({\mathbb R}^N\)
- On the scalar curvature equation \(-\Delta u = (1+\varepsilon K)u ^{(N+2)/(N-2)}\) in \({\mathbb R}^N\)
- Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
- Segregated and synchronized vector solutions for nonlinear Schrödinger systems
- Multiple blowing-up solutions to critical elliptic systems in bounded domains
- Non-degeneracy of multi-bubbling solutions for the prescribed scalar curvature equations and applications
- A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system
- Entire nonradial solutions for non-cooperative coupled elliptic system with critical exponents in \(\mathbb R^3\)
- Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
- Spikes in two coupled nonlinear Schrödinger equations
- Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
- A remark on comparison results via symmetrization
- Positive splutions of semilinear elliptic systems
- On –δu = K(x)u5 in ℝ3
- On Superquadratic Elliptic Systems
- Non-existence and symmetry of solutions to the scalar curvature equation
- Asymptotic behaviour of ground states
- Non-degeneracy for the critical Lane–Emden system
- Existence and symmetry of positive ground states for a doubly critical Schrödinger system
- Sharp constant in a Sobolev inequality
- Ground state and non-ground state solutions of some strongly coupled elliptic systems
- On the existence of solutions of Hamiltonian elliptic systems in \(\mathbb{R}^N\).
