Maximal solution of the Liouville equation in doubly connected domains
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Publication:2324746
DOI10.1016/j.jfa.2019.06.013zbMath1497.35159arXiv1808.00127OpenAlexW2962870547WikidataQ125587019 ScholiaQ125587019MaRDI QIDQ2324746
Giusi Vaira, Angela Pistoia, Michał Kowalczyk
Publication date: 12 September 2019
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.00127
Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20)
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New radial solutions of strong competitive \(m\)-coupled elliptic system with general form in \(B_1(0)\), Phase separating solutions for two component systems in general planar domains, Free boundary problems arising in the theory of maximal solutions of equations with exponential nonlinearities
Cites Work
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- Multi-layer radial solutions for a supercritical Neumann problem
- Layered solutions with unbounded mass for the Keller-Segel equation
- Construction de surfaces minimales en recollant des surfaces de Scherk. (Minimal surfaces constructed by gluing Scherk surfaces.)
- Singular mean field equations on compact Riemann surfaces
- Blow-up analysis for \(SU(3)\) Toda system
- Generic multiplicity for a scalar field equation on compact surfaces
- Morse theory and a scalar field equation on compact surfaces
- Prescribing Gaussian curvature on S 2
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
- Harnack type inequality: The method of moving planes
- Existence results for mean field equations
- Construction of singular limits for a semilinear elliptic equation in dimension 2
- When ``blow-up does not imply ``concentration: a detour from Brézis-Merle's result
- On the existence of blowing-up solutions for a mean field equation
- Nonlinear elliptic equations in conformal geometry
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II
- Unbounded mass radial solutions for the Keller-Segel equation in the disk
- Free boundary problems arising in the theory of maximal solutions of equations with exponential nonlinearities
- Curvature functions for compact 2-manifolds
- Singular limits in Liouville-type equations
- Existence of conformal metrics with constant \(Q\)-curvature
- Multiple positive solutions of the stationary Keller-Segel system
- An end-to-end construction for compact constant mean curvature surfaces
- Large mass boundary condensation patterns in the stationary Keller-Segel system
- Radial and nonradial solutions for the nonlinear eigenvalue problem \(\Delta u+\lambda e^ u=0\) on annuli in \({\mathbb{R}}^ 2\)
- Collapsing steady states of the Keller–Segel system
- Concentration on curves for nonlinear Schrödinger Equations
- EXISTENCE RESULT FOR THE MEAN FIELD PROBLEM ON RIEMANN SURFACES OF ALL GENUSES
- Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)euin two dimensions
- Statistical mechanics of classical particles with logarithmic interactions
- An end-to-end gluing construction for metrics of constant positive scalar curvature
- Topological degree for a mean field equation on Riemann surfaces
- Self-dual Chern-Simons vortices
- Multivortex solutions of the Abelian Chern-Simons-Higgs theory
- Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces
- Steady states with unbounded mass of the Keller–Segel system