On the Kirchhoff type equations in \(\mathbb{R}^N \)
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Publication:2113453
zbMath1485.35221arXiv1908.01326MaRDI QIDQ2113453
Publication date: 14 March 2022
Published in: Advances in Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.01326
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
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- Existence of a positive solution to Kirchhoff-type problems without compactness conditions
- The elliptic Kirchhoff equation in \(\mathbb {R}^{N}\) perturbed by a local nonlinearity.
- 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 asymptotic behavior of nodal solutions for the Kirchhoff-type problems in \(\mathbb{R}^3\)
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Nonlinear scalar field equations. I: Existence of a ground state
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Multiplicity of positive solutions for a nonlinear Schrödinger-Poisson system
- 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
- On a global solution of some quasilinear hyperbolic equation
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- On nonhomogeneous elliptic equations involving critical Sobolev exponent
- Global solvability for the degenerate Kirchhoff equation with real analytic data
- The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
- Non-autonomous Schrödinger-Poisson system in \(\mathbb{R}^{3}\)
- Uniqueness, existence and concentration of positive ground state solutions for Kirchhoff type problems in \(\mathbb{R}^3\)
- On the variational principle
- Minimax theorems
- Positive high energy solution for Kirchhoff equation in \(\mathbb{R}^{3}\) with superlinear nonlinearities via Nehari-Pohožaev manifold
- Bound state nodal solutions for the non-autonomous Schrödinger-Poisson system in \(\mathbb{R}^3\)
- A singularly perturbed Kirchhoff problem revisited
- Ground states for Kirchhoff equations without compact condition
- Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials
- Ground state solutions for an indefinite Kirchhoff type problem with steep potential well
- Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior
- Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
- The critical problem of Kirchhoff type elliptic equations in dimension four
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- On the shape of least‐energy solutions to a semilinear Neumann problem
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- On global solvability of non‐linear viscoelastic equations in the analytic category
- Positive solutions for the p-Laplacian: application of the fibrering method
- A note on the elliptic Kirchhoff equation in ℝNperturbed by a local nonlinearity
- Existence and multiplicity of solutions for an indefinite Kirchhoff-type equation in bounded domains
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