On phase-separation models: asymptotics and qualitative properties

From MaRDI portal
Publication:1944758

DOI10.1007/s00205-012-0595-3zbMath1263.35095OpenAlexW2045673781MaRDI QIDQ1944758

Tai-Chia Lin, Henri Berestycki, Chunyi Zhao, Wei, Juncheng

Publication date: 27 March 2013

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-012-0595-3




Related Items (40)

Hölder bounds and regularity of emerging free boundaries for strongly competing Schrödinger equations with nontrivial groupingOn the uniqueness of solutions of a nonlocal elliptic systemSome monotonicity results for general systems of nonlinear elliptic PDEsStable and finite Morse index solutions of a nonlinear elliptic systemNew radial solutions of strong competitive \(m\)-coupled elliptic system with general form in \(B_1(0)\)De Giorgi type results for elliptic systemsUniform Lipschitz regularity of flat segregated interfaces in a singularly perturbed problemOn entire solutions of an elliptic system modeling phase separationsPhase separating solutions for two component systems in general planar domainsStable solutions of symmetric systems on Riemannian manifoldsInterface layer of a two-component Bose–Einstein condensateConstruction of a solution for the two-component radial Gross-Pitaevskii system with a large coupling parameterOrbital Stability of Domain Walls in Coupled Gross--Pitaevskii SystemsOn the asymptotic growth of positive solutions to a nonlocal elliptic blow-up system involving strong competitionSymmetry and asymmetry of components for elliptic Gross-Pitaevskii systemSome symmetry results for entire solutions of an elliptic system arising in phase separationGround-state patterns and phase diagram of spin-1 Bose-Einstein condensates in uniform magnetic fieldMonotonicity and 1-dimensional symmetry for solutions of an elliptic system arising in Bose-Einstein condensationMonotonicity and rigidity of solutions to some elliptic systems with uniform limitsHarmonic approximation and improvement of flatness in a singular perturbation problemA minimal interface problem arising from a two component Bose-Einstein condensate via \(\Gamma \)-convergenceSymmetry breaking via Morse index for equations and systems of Hénon-Schrödinger typeUniform bounds for strongly competing systems: the optimal Lipschitz caseOne dimensional phase transition problem modeling striped spin orbit coupled Bose-Einstein condensatesOn phase separation in systems of coupled elliptic equations: asymptotic analysis and geometric aspectsMoving planes for domain walls in a coupled systemInfinitely many solutions for nonlinear Schrödinger equations with slow decaying of potentialThomas-Fermi approximation for coexisting two component Bose-Einstein condensates and nonexistence of vortices for small rotationLinear non-degeneracy of the 1-D blow-up limit in the phase segregation of Bose-Einstein condensatesVortex patterns and sheets in segregated two component Bose-Einstein condensatesStable and finite Morse index solutions of a nonlinear Schrödinger systemExistence result for a gradient-type elliptic system involving a pair ofp(x) andq(x)-Laplacian operatorsPhase transition in a Rabi coupled two-component Bose-Einstein condensateQualitative properties of a non-linear system involving thep-Laplacian operator and a De Giorgi type resultLiouville theorems and 1-dimensional symmetry for solutions of an elliptic system modelling phase separationSharp interface limit for two components Bose−Einstein condensatesSymmetry results for stable and monotone solutions to fibered systems of PDEsOn the De Giorgi Type Conjecture for an Elliptic System Modeling Phase SeparationDecoupling of DeGiorgi-Type Systems via Multi-Marginal Optimal TransportThe ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit



Cites Work


This page was built for publication: On phase-separation models: asymptotics and qualitative properties