Multiplicity and concentration for Kirchhoff type equations around topologically critical points in potential
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Publication:2422559
DOI10.12775/TMNA.2018.044zbMath1418.35148OpenAlexW2915666430WikidataQ128322498 ScholiaQ128322498MaRDI QIDQ2422559
Publication date: 19 June 2019
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.tmna/1551063640
Related Items
Existence and concentration results for the general Kirchhoff-type equations ⋮ Semi-classical analysis around local maxima and saddle points for degenerate nonlinear Choquard equations
Cites Work
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- Semi-classical standing waves for nonlinear Schrödinger equations at structurally stable critical points of the potential
- Existence and concentration result for the Kirchhoff type equations with general nonlinearities
- Semiclassical states for the nonlinear Schrödinger equation on saddle points of the potential via variational methods
- Existence of a positive solution to Kirchhoff-type problems without compactness conditions
- Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
- The elliptic Kirchhoff equation in \(\mathbb {R}^{N}\) perturbed by a local nonlinearity.
- Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
- The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
- Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
- Existence and concentration of solutions for a Kirchhoff type problem with potentials
- Nonlinear scalar field equations. I: Existence of a ground state
- The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
- The effect of the domain's configuration space on the number of nodal solutions of singularly perturbed elliptic equations
- Nontrivial solutions of Kirchhoff-type problems via the Yang index
- Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
- Standing waves for a class of Kirchhoff type problems in \(\mathbb R^3\) involving critical Sobolev exponents
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Remarks on an elliptic equation of Kirchhoff type
- Existence of solitary waves in higher dimensions
- Remarks on the Schrödinger operator with singular complex potentials
- On the existence of multiple, single-peaked solutions for a semilinear Neumann problem
- Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology
- Semi-classical states for nonlinear Schrödinger equations
- Multi-peak bound states for nonlinear Schrödinger equations
- Multiple semiclassical standing waves for a class of nonlinear Schrödinger equations
- The effect of concentrating potentials in some singularly perturbed problems
- Positive solutions for a nonlinear nonlocal elliptic transmission problem
- Elliptic partial differential equations of second order
- On concentration of positive bound states of nonlinear Schrödinger equations
- On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Multiple solutions of the forced double pendulum equation
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Multiplicity of positive solutions of nonlinear Schrödinger equations concentrating at a potential well
- Existence and concentration of positive ground states for a Kirchhoff equation involving critical Sobolev exponent
- Existence and concentration for Kirchhoff type equations around topologically critical points of the potential
- Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior
- Standing waves for nonlinear Schrödinger equations with a general nonlinearity
- Cohomology theory for general spaces
- A Remark on Bony Maximum Principle
- Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a
- Homoclinic type solutions for a semilinear elliptic PDE on ℝn
- Symmetric Decreasing Rearrangement Is Sometimes Continuous
- A remark on least energy solutions in $\mathbf {R}^N$
