Positive solutions for autonomous and non-autonomous nonlinear critical elliptic problems in unbounded domains

DOI10.1007/s00030-019-0611-5zbMath1436.35096arXiv1806.09890OpenAlexW2997278015MaRDI QIDQ1986970

Publication date: 9 April 2020

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.09890

zbMATH Keywords

unbounded domains Schrödinger equations critical nonlinearity

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20)

Related Items (2)

Multiple positive bound state solutions for a critical Choquard equation ⋮ Normalized solutions of mass supercritical Schrödinger equations with potential

Cites Work

Nonlinear scalar field equations. II: Existence of infinitely many solutions
A global compactness result for elliptic boundary value problems involving limiting nonlinearities
On a min-max procedure for the existence of a positive solution for certain scalar field equations in ${\mathbb{R}}^ N$
Positive solutions of semilinear elliptic problems in unbounded domains with unbounded boundary
The concentration-compactness principle in the calculus of variations. The limit case. I
Existence of positive solutions of the equation $-\Delta u+a(x)u=u^{(N+2)/(N-2)}$ in ${\mathbb{R}}^ N$
Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents
Positive solutions of some nonlinear elliptic problems in exterior domains
Uniqueness of positive solutions of $\Delta u-u+u^ p=0$ in $R^ n$
Symmetry and related properties via the maximum principle
Best constant in Sobolev inequality
Existence of solitary waves in higher dimensions
Problèmes isoperimetriques et espaces de Sobolev
On the existence of a positive solution of semilinear elliptic equations in unbounded domains
The effect of concentrating potentials in some singularly perturbed problems
Multiple positive solutions for singularly perturbed elliptic problems in exterior domains.
Concentration phenomena in elliptic problems with critical and supercritical growth.
On the behaviour of the solutions for a class of nonlinear elliptic problems in exterior domains
Existence of a positive solution to a nonlinear scalar field equation with zero mass at infinity
Existence of a positive solution for a class of elliptic problems in exterior domains involving critical growth
Compactness and existence results in weighted Sobolev spaces of radial functions. II: Existence
Multiple nonradial solutions for a nonlinear elliptic problem with singular and decaying radial potential
Existence and non existence of the ground state solution for the nonlinear Schrödinger equations with $V(\infty)=0$
Positive bound state solutions for some Schrödinger–Poisson systems
Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
ON ELLIPTIC PROBLEMS IN DOMAINS WITH UNBOUNDED BOUNDARY
Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
Existence and multiplicity results for semilinear elliptic Dirichlet problems in exterior domains
On the Schroedinger equation in $\mathbb{R}^{N}$ under the effect of a general nonlinear term
Existence of Solutions for the Nonlinear Schrödinger Equation with V (∞) = 0
Solutions in Exterior Domains of Null Mass Nonlinear Field Equations

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