Multiple blowing-up solutions to critical elliptic systems in bounded domains
From MaRDI portal
Publication:2020093
DOI10.1016/j.jfa.2021.109023zbMath1465.35177arXiv2004.09191OpenAlexW3156270772MaRDI QIDQ2020093
Angela Pistoia, Seunghyeok Kim
Publication date: 23 April 2021
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.09191
Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Second-order elliptic systems (35J47) Blow-up in context of PDEs (35B44)
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Cites Work
- Unnamed Item
- Unnamed Item
- Asymptotic behavior of the least energy solution of a problem with competing powers
- Systems of coupled Poisson equations with critical growth in unbounded domains
- The concentration-compactness principle in the calculus of variations. The limit case. I
- Weighted Hardy-Littlewood-Sobolev inequalities and systems of integral equations
- An existence result for nonliner elliptic problems involving critical Sobolev exponent
- Variational identities and applications to differential systems
- On a variational problem with lack of compactness: The topological effect of the critical points at infinity
- Regularity of solutions for a system of integral equations
- The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
- Asymptotic behavior of least energy solutions to the Lane-Emden system near the critical hyperbola
- On the integral systems related to Hardy-Littlewood-Sobolev inequality
- Solutions of an elliptic system with a nearly critical exponent
- On the existence and the profile of nodal solutions of elliptic equations involving critical growth
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- A remark on comparison results via symmetrization
- Hamiltonian trajectories having prescribed minimal period
- A rellich type identity and applications
- Strongly indefinite systems with critical Sobolev exponents
- Multispike solutions for a nonlinear elliptic problem involving critical Sobolev exponent
- Asymptotic behaviour of ground states
- Non-degeneracy for the critical Lane–Emden system
- Sharp constant in a Sobolev inequality