scientific article

zbMath1200.35106MaRDI QIDQ3057556

Andrea Malchiodi, Antonio Ambrosetti

Publication date: 25 November 2010

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Semilinear elliptic equations (35J61)

Related Items (33)

Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in \(\mathbb R^2\) ⋮ Concentration of positive ground state solutions for Schrödinger-Maxwell systems with critical growth ⋮ Standing waves with a critical frequency for nonlinear Schrödinger equations involving critical growth ⋮ Semiclassical ground state solutions for a Choquard type equation in ℝ²with critical exponential growth ⋮ Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials ⋮ Standing waves with a critical frequency for nonlinear Choquard equations ⋮ Sign-changing multi-peak solutions for nonlinear Schrödinger equations with compactly supported potential ⋮ Existence and concentration of positive solutions for a system of coupled saturable Schrödinger equations ⋮ Nonstandard solutions for a perturbed nonlinear Schrödinger system with small coupling coefficients ⋮ Multi-peak solutions for logarithmic Schrödinger equations with potentials unbounded below ⋮ Existence and concentration results for the general Kirchhoff-type equations ⋮ A group-theoretical approach for nonlinear Schrödinger equations ⋮ Multi-peak solutions for nonlinear Choquard equation in the plane ⋮ Nonlinear Schrödinger equation with unbounded or vanishing potentials: solutions concentrating on lower dimensional spheres ⋮ Bound state solutions for a class of nonlinear Schrödinger equations ⋮ Semi-classical states for the Choquard equation ⋮ Multiplicity of semiclassical solutions to nonlinear Schrödinger equations ⋮ Multiplicity and concentration of solutions for a quasilinear Choquard equation ⋮ Hamiltonian elliptic systems: a guide to variational frameworks ⋮ Some hemivariational inequalities in the Euclidean space ⋮ Multi-peak bound states for Schrödinger equations with compactly supported or unbounded potentials ⋮ Existence and concentration for nonlinear Schrödinger equations with fast decaying potentials ⋮ Blow-up theory for the coupled \(L^{2}\)-critical nonlinear Schrödinger system in the plane ⋮ Multiplicity and concentration behaviour of solutions for a fractional Choquard equation with critical growth ⋮ Uniqueness of positive bound states with multi-bump for nonlinear Schrödinger equations ⋮ Multiplicity and concentration of nontrivial nonnegative solutions for a fractional Choquard equation with critical exponent ⋮ Multiple bound states of higher topological type for semi-classical Choquard equations ⋮ Existence of semiclassical ground state solutions for a generalized Choquard equation ⋮ Existence of ground state solution and concentration of maxima for a class of indefinite variational problems ⋮ Soliton solutions for quasilinear Schrödinger equations involving convolution and critical Nonlinearities ⋮ Bound states of nonlinear Schrödinger equations with potentials tending to zero at infinity ⋮ Multiplicity and concentration of positive solutions for a class of quasilinear problems through Orlicz-Sobolev space ⋮ Semi-classical analysis for fractional Schrödinger equations with fast decaying potentials

This page was built for publication: