Existence and concentration behavior of solutions to Kirchhoff type equation with steep potential well and critical growth

DOI10.1063/5.0028510zbMath1458.35395OpenAlexW3123434688MaRDI QIDQ5148671

Jian Zhang, Zhenluo Lou

Publication date: 4 February 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0028510

zbMATH Keywords

existencemultiplicityground stateKirchhoff type equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (5)

The existence and concentration of ground state sign-changing solutions for Kirchhoff-type equations with a steep potential Well ⋮ Existence and concentration of solutions to Kirchhoff-type equations in \(\mathbb{R}^2\) with steep potential well vanishing at infinity and exponential critical nonlinearities ⋮ Existence and concentration of solutions for a 1-biharmonic Choquard equation with steep potential Well in \(R^N \) ⋮ Unnamed Item ⋮ Limit behavior of ground states of 2D binary BECs in steep potential wells

Cites Work

• Unnamed Item
• Sign changing bump solutions for Schrödinger equations involving critical growth and indefinite potential wells
• Existence and concentrate behavior of Schrödinger equations with critical exponential growth in \({\mathbb R}^N\)
• The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
• Bound states for semilinear Schrödinger equations with sign-changing potential
• Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology
• Multiplicity of positive solutions of a nonlinear Schrödinger equation
• Schrödinger type equations with asymptotically linear nonlinearities
• Multiple solutions for a Schrödinger type equation with an asymptotically linear term.
• Multiple positive solutions for a nonlinear Schrödinger equation
• Positive solutions of a Schrödinger equation with critical nonlinearity
• Minimax theorems
• Multi-bump solutions for Schrödinger equation involving critical growth and potential wells
• Dual variational methods in critical point theory and applications
• Least energy solutions for semilinear Schrödinger equations involving critical growth and indefinite potentials
• Multiplicity and concentration behavior of solutions to the critical Kirchhoff-type problem
• A multiplicity result for asymptotically linear Kirchhoff equations
• Ground state solutions for an indefinite Kirchhoff type problem with steep potential well
• Bending and stretching energies in a rectangular plate modeling suspension bridges
• Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractionalp-Laplacian
• Sign-changing multi-bump solutions for nonlinear Schrödinger equations with steep potential wells
• NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• Existence and multiplicity of positive solutions for a class of Kirchhoff Laplacian type problems
• GLOBAL BRANCH OF SOLUTIONS FOR NON-LINEAR SCHRÖDINGER EQUATIONS WITH DEEPENING POTENTIAL WELL

This page was built for publication: Existence and concentration behavior of solutions to Kirchhoff type equation with steep potential well and critical growth