Existence of solutions for Schrödinger-Kirchhoff type problems involving nonlocal elliptic operators
type: Item
instance of: scholarly article
title: Existence of solutions for Schrödinger-Kirchhoff type problems involving nonlocal elliptic operators
zbMATH Open document ID: 1401.35327
author: Mingqi Xiang
author: Z. Q. Yang
published in: International Journal of Nonlinear Sciences and Numerical Simulation
publication date: 2018-08-17T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 47G20
zbMATH DE Number: 6920033
zbMATH Keywords: nonlocal integro-differential operators
zbMATH Keywords: Schrödinger-Kirchhoff type problems
zbMATH Keywords: the Galerkin method
MaRDI profile type: Publication
full work available at URL: ijnsns-2015-0181
OpenAlex ID: W2549416209
cites work: Fractional p-eigenvalues
cites work: Fractional eigenvalues
cites work: A critical Kirchhoff type problem involving a nonlocal operator
cites work: Existence of three solutions for Kirchhoff nonlocal operators of elliptic type
cites work: Q4826746
cites work: Non-local Diffusions, Drifts and Games
cites work: Fractional quantum mechanics and Lévy path integrals
cites work: The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: Existence of multiple solutions of \(p\)-fractional Laplace operator with sign-changing weight function
cites work: Fractional equations with bounded primitive
cites work: On doubly nonlocal fractional elliptic equations
cites work: Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
cites work: Gamma-convergence of nonlocal perimeter functionals
cites work: On some critical problems for the fractional Laplacian operator
cites work: Mountain pass solutions for non-local elliptic operators
cites work: Existence of solutions for perturbed fractional \(p\)-Laplacian equations
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
cites work: Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian
cites work: Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
cites work: Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
cites work: Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
cites work: Multiplicity of solutions for \(p(x)\)-polyharmonic elliptic Kirchhoff equations
cites work: Nonvariational approach in the study of Kirchhoff-type equations without symmetry and involving variable exponent
cites work: On a fractional degenerate Kirchhoff-type problem
cites work: On a \(p\)-Kirchhoff problem involving a critical nonlinearity
cites work: Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
cites work: A critical fractional equation with concave-convex power nonlinearities
cites work: Existence theorems for entire solutions of stationary Kirchhoff fractional \(p\)-Laplacian equations
cites work: Existence of solution for a Kirchhoff type problem involving the fractional p-Laplace operator
cites work: On a fractional Kirchhoff-type equation via Krasnoselskii’s genus
cites work: Critical stationary Kirchhoff equations in \(\mathbb R^N\) involving nonlocal operators
cites work: Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
cites work: Multiplicity results for the non-homogeneous fractional p -Kirchhoff equations with concave–convex nonlinearities
cites work: Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
cites work: Q4539336
cites work: Existence of entire solutions for a class of variable exponent elliptic equations
cites work: Q3995594
cites work: Q5516901
DOI: 10.1515/IJNSNS-2015-0181
description: scientific article; zbMATH DE number 6920033