Clustered solutions around harmonic centers to a coupled elliptic system
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Publication:2641693
DOI10.1016/j.anihpc.2006.04.003zbMath1406.35053OpenAlexW2047798818MaRDI QIDQ2641693
Teresa D'Aprile, Wei, Juncheng
Publication date: 23 August 2007
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPC_2007__24_4_605_0
Asymptotic behavior of solutions to PDEs (35B40) Biochemistry, molecular biology (92C40) A priori estimates in context of PDEs (35B45) Developmental biology, pattern formation (92C15) Boundary value problems for second-order elliptic systems (35J57)
Related Items (11)
Static Klein–Gordon–Maxwell–Proca systems in 4-dimensional closed manifolds ⋮ Positive solutions for double singularly perturbed Schrödinger Maxwell systems ⋮ Unnamed Item ⋮ Boundary layers to a singularly perturbed Klein-Gordon-Maxwell-Proca system on a compact Riemannian manifold with boundary ⋮ Number and profile of low energy solutions for singularly perturbed Klein-Gordon-Maxwell systems on a Riemannian manifold ⋮ The role of the scalar curvature in some singularly perturbed coupled elliptic systems on Riemannian manifolds ⋮ Cluster solutions for the Schrödinger-Poisson-Slater problem around a local minimum of the potential ⋮ Nonlinear Klein-Gordon-Maxwell systems with Neumann boundary conditions on a Riemannian manifold with boundary ⋮ EXISTENCE ANDA PRIORIBOUNDS FOR ELECTROSTATIC KLEIN–GORDON–MAXWELL SYSTEMS IN FULLY INHOMOGENEOUS SPACES ⋮ Klein-Gordon-Maxwell equations in high dimensions ⋮ Low energy solutions for singularly perturbed coupled nonlinear systems on a Riemannian manifold with boundary
Cites Work
- Clustered spots in the FitzHugh-Nagumo system
- Standing waves in the Maxwell-Schrödinger equation and an optimal configuration problem
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- On a class of nonlinear Schrödinger equations
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Semi-classical states for nonlinear Schrödinger equations
- Semiclassical states of nonlinear Schrödinger equations
- Multi-peak bound states for nonlinear Schrödinger equations
- Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. I
- On a singularly perturbed elliptic equation
- Some results on a class of nonlinear Schrödinger equations
- Multi-peak solutions for a class of nonlinear Schrödinger equations
- On the strict concavity of the harmonic radius in dimension \(N\geq 3\)
- On concentration of positive bound states of nonlinear Schrödinger equations
- Multipeak solutions for a singularly perturbed Neumann problem
- Multipeak solutions for a semilinear Neumann problem
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Semi-classical states of nonlinear Schrödinger equations: a variational reduction method
- Multi-bump ground states of the Gierer-Meinhardt system in \(\mathbb R^2\).
- Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities
- Local mountain passes for semilinear elliptic problems in unbounded domains
- On the construction of single-peaked solutions to a singularly perturbed semilinear Dirichlet problem
- Multiple boundary peak solutions for some singularly perturbed Neumann problems
- Symmetric and asymmetric multiple clusters in a reaction-diffusion system
- THE GIERER & MEINHARDT SYSTEM: THE BREAKING OF HOMOCLINICS AND MULTI-BUMP GROUND STATES
- Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a
- Uniqueness of the ground state solutions of △u+f(u)=0 in Rn, n≥3
- On the shape of least‐energy solutions to a semilinear Neumann problem
- On the profile of solutions with two sharp layers to a singularly perturbed semilinear Dirichlet problem
- A note on asymptotic uniqueness for some nonlinearities which change sign
- On Multiple Mixed Interior and Boundary Peak Solutions for Some Singularly Perturbed Neumann Problems
- Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
- SEMICLASSICAL STATES FOR COUPLED SCHRÖDINGER–MAXWELL EQUATIONS: CONCENTRATION AROUND A SPHERE
- Singularly perturbed elliptic equations with symmetry: Existence of solutions concentrating on spheres, Part II
- Harmonic Radius and Concentration of Energy; Hyperbolic Radius and Liouville’s Equations $\Delta U = e^U $ and $\Delta U = U^{\tfrac{{n + 2}}{{n - 2}}} $
- On Bound States Concentrating on Spheres for the Maxwell--Schrödinger Equation
- Multiplicity results for some nonlinear Schrödinger equations with potentials
- On interacting bumps of semi-classical states of nonlinear Schrödinger equations.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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