Strong instability of standing waves for the divergence Schrödinger equation with inhomogeneous nonlinearity

Stability in context of PDEs (35B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

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Sobolev type embedding and weak solutions with a prescribed singular set
On the positive radial solutions of a class of singular semilinear elliptic equations
Sobolev type embedding and quasilinear elliptic equations with radial potentials
Further study of a weighted elliptic equation
Nonlinear scalar field equations. I: Existence of a ground state
Schrödinger equations with a spatially decaying nonlinearity: existence and stability of standing waves
Orbital stability of standing waves for some nonlinear Schrödinger equations
Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
Existence of solitary waves in higher dimensions
Energy decay rate of multidimensional inhomogeneous Landau-Lifshitz-Gilbert equation and Schrödinger map equation on the sphere
Improved Caffarelli-Kohn-Nirenberg and trace inequalities for radial functions
On well posedness for the inhomogeneous nonlinear Schrödinger equation
Blow-up solutions of inhomogeneous nonlinear Schrödinger equations
Global nonautonomous Schrödinger flows on Hermitian locally symmetric spaces
Instability of standing waves for nonlinear Schrödinger equations with inhomogeneous non\-linearities
The Cauchy problem for non-autonomous nonlinear Schrödinger equation
Stability of standing waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities
Blow-up solutions and strong instability of ground states for the inhomogeneous nonlinear Schrödinger equation
On the Best Constant for a Weighted Sobolev-Hardy Inequality
A Note on Berestycki-Cazenave's Classical Instability Result for Nonlinear Schrödinger Equations
GLOBAL INHOMOGENEOUS SCHRÖDINGER FLOW
Existence and regularity of positive solutions of a degenerate elliptic problem
On the integrability of the inhomogeneous spherically symmetric Heisenberg ferromagnet in arbitrary dimensions
Blow-up solutions for a class of divergence Schrödinger equations with intercritical inhomogeneous nonlinearity
The Cauchy problem for Schrödinger type equations with variable coefficients

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