Standing waves for supercritical nonlinear Schrödinger equations

DOI10.1016/j.jde.2007.01.016zbMath1124.35082OpenAlexW2063474752MaRDI QIDQ879378

Monica Musso, Juan Dávila, Manuel A. del Pino, Wei, Juncheng

Publication date: 11 May 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2007.01.016

zbMATH Keywords

ExistenceFixed point argumentNonlinear Schrödinger EquationStanding WavesSupercritical Nonlinearity

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (23)

Perturbations of Lane-Emden and Hamilton-Jacobi equations. II: Exterior domains ⋮ Singular solutions of a \(p\)-Laplace equation involving the gradient ⋮ Existence and regularity of nonlinear advection problems ⋮ Singular solutions of elliptic equations involving nonlinear gradient terms on perturbations of the ball ⋮ A nonlinear elliptic problem involving the gradient on a half space ⋮ Single‐peak solutions for a subcritical Schrödinger equation with non‐power nonlinearity ⋮ Existence and asymptotic behavior for elliptic equations with singular anisotropic potentials ⋮ Regular solutions to a supercritical elliptic problem in exterior domains ⋮ Quasilinear scalar field equations with competing potentials ⋮ Singular solutions of elliptic equations on a perturbed cone ⋮ Nonlinear Schrödinger equation with unbounded or vanishing potentials: solutions concentrating on lower dimensional spheres ⋮ Fast and slow decay solutions for supercritical elliptic problems in exterior domains ⋮ Singular solutions of a Lane-Emden system ⋮ A supercritical variable exponent problem ⋮ Perturbations of Lane-Emden and Hamilton-Jacobi equations: the full space case ⋮ Bound state solutions for the supercritical fractional Schrödinger equation ⋮ Semi-classical bound states of Schrödinger equations ⋮ Existence, Stability and Oscillation Properties of Slow-Decay Positive Solutions of Supercritical Elliptic Equations with Hardy Potential ⋮ Infinite multiplicity for an inhomogeneous supercritical problem in entire space ⋮ On a weighted Lane–Emden system ⋮ Some elliptic problems involving the gradient on general bounded and exterior domains ⋮ Fast and slow decaying solutions for \(H^{1}\)-supercritical quasilinear Schrödinger equations ⋮ On a class of quasilinear Schrödinger equations with the supercritical growth

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