Ground states for a system of Schrödinger equations with critical exponent
From MaRDI portal
Publication:408139
DOI10.1016/j.jfa.2012.01.001zbMath1234.35241OpenAlexW1964817082MaRDI QIDQ408139
Publication date: 29 March 2012
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2012.01.001
Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (44)
Ground state solution for an autonomous nonlinear Schrödinger system ⋮ Sign-changing solutions for Schrödinger system with critical growth ⋮ Multiplicity of solutions to linearly coupled Hartree systems with critical exponent ⋮ Existence of axially symmetric solutions for a kind of planar Schrödinger-Poisson system ⋮ Existence of positive solutions to a linearly coupled Schrödinger system with critical exponent ⋮ Existence and behavior of positive solutions for a class of linearly coupled systems with discontinuous nonlinearities in \(\mathbb{R}^N\) ⋮ Normalized solutions for nonlinear Schrödinger systems with linear couples ⋮ Multiple solutions for a coupled Kirchhoff system with fractionalp-Laplacian and sign-changing weight functions ⋮ On a two-component Bose-Einstein condensate with steep potential wells ⋮ Ground states for a class of quasilinear elliptic systems with critical exponent ⋮ Ground state solutions for linearly coupled elliptic systems with combined Sobolev critical terms ⋮ On a elliptic system involving nonhomogeneous nonlinearities and critical growth ⋮ Standing waves of coupled Schrödinger equations with quadratic interactions from Raman amplification in a plasma ⋮ Prescribed mass solutions to Schrödinger systems with linear coupled terms ⋮ Fine bounds for best constants of fractional subcritical Sobolev embeddings and applications to nonlocal PDEs ⋮ Concentrating ground state for linearly coupled Schrödinger systems involving critical exponent cases ⋮ Ground-state solution for a class of biharmonic equations including critical exponent ⋮ POSITIVE GROUND STATES FOR A CLASS OF SUPERLINEAR -LAPLACIAN COUPLED SYSTEMS INVOLVING SCHRÖDINGER EQUATIONS ⋮ On the existence of positive least energy solutions for a coupled Schrödinger system with critical exponent ⋮ Partial symmetry of normalized solutions for a doubly coupled Schrödinger system ⋮ Semiclassical solutions for linearly coupled Schrödinger equations without compactness ⋮ On the blowup phenomenon for \(N\)-coupled focusing Schrödinger system in \(\mathbb{R}^{d} (d \geq 3)\) ⋮ On the existence and regularity of vector solutions for quasilinear systems with linear coupling ⋮ On coupled systems of nonlinear Schrödinger equations with critical exponential growth ⋮ Semiclassical solutions for a kind of coupled Schrödinger equations ⋮ Positive ground state solutions of a quadratically coupled Schrödinger system ⋮ Multiple positive solutions for linearly coupled nonlinear elliptic systems with critical exponent ⋮ A different approach to ground state solutions for \(p\)-Laplacian system with critical exponent ⋮ Unnamed Item ⋮ A positive solution for some critical \(p\)-Laplacian systems ⋮ Bounds for best constants in subcritical Sobolev embeddings ⋮ Ground States of a \(\mathrm{K}\)-component critical system with linear and nonlinear couplings: the attractive case ⋮ Ground states for a linearly coupled indefinite Schrödinger system with steep potential well ⋮ On a class of coupled Schrödinger systems with critical Sobolev exponent growth ⋮ Standing waves for linearly coupled Schrödinger equations with critical exponent ⋮ On a class of linearly coupled systems on \(\mathbb{R}^N\) involving asymptotically linear terms ⋮ On nonquadratic fractional coupled elliptic systems in ℝ ⋮ Multiple solutions to a linearly coupled elliptic system with critical exponents ⋮ Ground states for fractional linear coupled systems via profile decomposition * ⋮ On finding the ground state solution to the linearly coupled Brezis-Nirenberg system in high dimensions: the cooperative case ⋮ Positive ground states for a system of Schrödinger equations with critically growing nonlinearities ⋮ Nehari-type ground state solutions for Schrödinger equations including critical exponent ⋮ Positive ground state solutions for a nonlinearly coupled Schrödinger system with critical exponents in \(\mathbb{R}^4\) ⋮ Two solutions for fractional elliptic systems
Cites Work
- On coupled systems of Schrödinger equations
- Nonlinear scalar field equations. II: Existence of infinitely many solutions
- On a min-max procedure for the existence of a positive solution for certain scalar field equations in \({\mathbb{R}}^ N\)
- Solitons of linearly coupled systems of semilinear non-autonomous equations on \(\mathbb R^{n}\)
- Revisiting an idea of Brézis and Nirenberg
- Remarks on some systems of nonlinear Schrödinger equations
- Symmetry and monotonicity of least energy solutions
- Minimum action solutions of some vector field equations
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- On a class of nonlinear Schrödinger equations
- Existence of solitary waves in higher dimensions
- On the existence of a positive solution of semilinear elliptic equations in unbounded domains
- Symmetry results for semilinear elliptic systems in the whole space
- From one bubble to several bubbles: the low-dimensional case.
- Sharp asymptotics and compactness for local low energy solutions of critical elliptic systems in potential form
- Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations
- Estimates of the conformal scalar curvature equation via the method of moving planes
- Novel soliton states and bifurcation phenomena in nonlinear fiber couplers
This page was built for publication: Ground states for a system of Schrödinger equations with critical exponent