Ground state and non-ground state solutions of some strongly coupled elliptic systems
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Publication:5388830
DOI10.1090/S0002-9947-2011-05452-8zbMath1250.35093MaRDI QIDQ5388830
Denis Bonheure, Miguel Ramos, Ederson Moreira dos Santos
Publication date: 20 April 2012
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Variational methods for elliptic systems (35J50) Positive solutions to PDEs (35B09) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)
Related Items (36)
The Hénon-Lane-Emden system: a sharp nonexistence result ⋮ Symmetry properties of positive solutions for fully nonlinear elliptic systems ⋮ Existence and symmetry of least energy nodal solutions for Hamiltonian elliptic systems ⋮ Existence and multiplicity for quasi-critical fourth order quasilinear problems with generalized vanishing potentials ⋮ Asymptotic analysis on positive solutions of the Lane-Emden system with nearly critical exponents ⋮ Multiplicity of semiclassical solutions for a class of nonlinear Hamiltonian elliptic system ⋮ Existence and multiplicity of solutions for a class of Helmholtz systems ⋮ Coron's problem for the critical Lane-Emden system ⋮ Existence and non-degeneracy of positive multi-bubbling solutions to critical elliptic systems of Hamiltonian type ⋮ Unnamed Item ⋮ Geometrically distinct solutions of nonlinear elliptic systems with periodic potentials ⋮ Semiclassical limits of ground state solutions to Schrödinger systems ⋮ Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions ⋮ Ground state solutions of Hamiltonian elliptic systems in dimension two ⋮ Symmetry breaking via Morse index for equations and systems of Hénon-Schrödinger type ⋮ Asymptotically periodic superquadratic Hamiltonian systems ⋮ A Paneitz-Branson type equation with Neumann boundary conditions ⋮ Some existence results of bounded variation solutions to 1-biharmonic problems ⋮ Some new results on subquadratic Lane-Emden elliptic systems ⋮ Positive solutions to a fourth-order elliptic problem by the Lusternik-Schnirelmann category ⋮ Radially symmetric solutions to the Hénon–Lane–Emden system on the critical hyperbola ⋮ Waveguide solutions for a nonlinear Schrödinger equation with mixed dispersion ⋮ Critical and noncritical regions on the critical hyperbola ⋮ Symmetric results of a Hénon type elliptic equation ⋮ Existence and asymptotic behavior of ground states for Schrödinger systems with Hardy potential ⋮ Orbitally Stable Standing Waves of a Mixed Dispersion Nonlinear Schrödinger Equation ⋮ Ground states of elliptic problems over cones ⋮ Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime ⋮ Existence of solitary waves for supercritical Schrödinger systems in dimension two ⋮ The homogeneous Hénon-Lane-Emden system ⋮ Existence of ground state solutions of Nehari-Pankov type to Schrödinger systems ⋮ Ground states for planar Hamiltonian elliptic systems with critical exponential growth ⋮ Existence and multiplicity of positive solutions for a fourth-order elliptic equation ⋮ Semiclassical states for coupled nonlinear Schrödinger system with competing potentials ⋮ Existence of sign-changing solutions to a Hamiltonian elliptic system in \(\mathbb{R}^N\) ⋮ Asymptotic behavior of least energy solutions to the Lane-Emden system near the critical hyperbola
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