Quasilinear Scalar Field Equations Involving Critical Sobolev Exponents and Potentials Vanishing at Infinity (Q5228172)

scientific article; zbMATH DE number 7091630

Language	Label	Description	Also known as
English	Quasilinear Scalar Field Equations Involving Critical Sobolev Exponents and Potentials Vanishing at Infinity	scientific article; zbMATH DE number 7091630

Statements

instance of

scholarly article

0 references

title

Quasilinear Scalar Field Equations Involving Critical Sobolev Exponents and Potentials Vanishing at Infinity (English)

0 references

author

Athanasios N. Lyberopoulos

0 references

published in

Proceedings of the Edinburgh Mathematical Society

0 references

publication date

9 August 2019

0 references

zbMATH Keywords

\(p\)-Laplacian

0 references

nonlinear Schrödinger equation

0 references

critical Sobolev exponents

0 references

decaying potentials

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Existence of positive solutions for a problem with lack of compactness involving the \(p\)-Laplacian

0 references

Local mountain-pass for a class of elliptic problems in \(\mathbb R^N\) involving critical growth

0 references

On existence and concentration behavior of ground state solutions for a class of problems with critical growth.

0 references

Existence of solutions for a class of elliptic equations in \(\mathbb R^N\) with vanishing potentials

0 references

Semiclassical states of nonlinear Schrödinger equations

0 references

Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity

0 references

Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)

0 references

Bound states of nonlinear Schrödinger equations with potentials vanishing at infinity

0 references

Dual variational methods in critical point theory and applications

0 references

Comments on the validity of a common category of constitutive equations

0 references

Problèmes isoperimetriques et espaces de Sobolev

0 references

Solitons in several space dimensions: Derrick's problem and infinitely many solutions

0 references

Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)

0 references

Existence and non existence of the ground state solution for the nonlinear Schrödinger equations with \(V(\infty)=0\)

0 references

Nonlinear scalar field equations. I: Existence of a ground state

0 references

Q3993198

0 references

Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity

0 references

Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

0 references

Infinitely Many Positive Solutions to Some Scalar Field Equations with Nonsymmetric Coefficients

0 references

Infinitely many solutions for the Schrödinger equations in \(\mathbb R^N\) with critical growth

0 references

Radial symmetry and applications for a problem involving the \(-\Delta_p(\cdot)\) operator and critical nonlinearity in \(\mathbb{R}^N\)

0 references

Local mountain passes for semilinear elliptic problems in unbounded domains

0 references

Semi-classical states for nonlinear Schrödinger equations

0 references

Semi-classical states of nonlinear Schrödinger equations: a variational reduction method

0 references

Q3726641

0 references

On the existence of positive entire solutions of a semilinear elliptic equation

0 references

Solutions of perturbed Schrödinger equations with critical nonlinearity

0 references

Semiclassical states for nonlinear Schrödinger equations with sign-changing potentials

0 references

On existence and concentration of positive bound states of \(p\)-Laplacian equations in \(\mathbb R^N\) involving critical growth

0 references

Positive solutions for a quasilinear Schrödinger equation with critical growth

0 references

Q4114823

0 references

Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential

0 references

Quasilinear elliptic equations involving critical Sobolev exponents

0 references

Q3517454

0 references

Q4271447

0 references

On a familiy of torsional creep problems.

0 references

The concentration-compactness principle in the calculus of variations. The limit case. I

0 references

Quasilinear scalar field equations with competing potentials

0 references

Bound states for a class of quasilinear scalar field equations with potentials vanishing at infinity

0 references

Global compactness for a class of quasi-linear elliptic problems

0 references

A global compactness result for the \(p\)-Laplacian involving critical nonlinearities

0 references

On a class of semilinear elliptic problems in ℝN with critical growth

0 references

Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials

0 references

Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)<sub>a</sub>

0 references

Correction to existence of semiclassical bound states of nonlinear scierodinger equations with potentials of the, class (V)<sub>a</sub>

0 references

On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential

0 references

The strong maximum principle revisited.

0 references

On a class of nonlinear Schrödinger equations

0 references

Classification of positive \(\mathcal{D}^{1, p}(\mathbb{R}^N)\)-solutions to the critical \(p\)-Laplace equation in \(\mathbb{R}^N\)

0 references

Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities.

0 references

A global compactness result for elliptic boundary value problems involving limiting nonlinearities

0 references

The nonlinear Schrödinger equation. Self-focusing and wave collapse

0 references

Best constant in Sobolev inequality

0 references

Regularity for a more general class of quasilinear equations

0 references

On harnack type inequalities and their application to quasilinear elliptic equations

0 references

A priori estimates and application to the symmetry of solutions for critical \(p\)-Laplace equations

0 references

New solutions for nonlinear Schrödinger equations with critical nonlinearity

0 references

Q3828389

0 references

Q3469493

0 references

Bound states of nonlinear Schrödinger equations with potentials tending to zero at infinity

0 references

EXISTENCE AND NON-EXISTENCE FOR SCHRÖDINGER EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS

0 references

full work available at URL

https://doi.org/10.1017/s0013091517000360

0 references

Identifiers

zbMATH Open document ID

1421.35174

0 references

DOI

10.1017/S0013091517000360

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5228172