Existence of positive solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^n\)
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Publication:2009290
DOI10.1016/J.JMAA.2019.123593zbMath1440.35120OpenAlexW2980119889MaRDI QIDQ2009290
Publication date: 28 November 2019
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123593
Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)
Related Items (5)
Positive solutions for nonlinear Schrödinger-Kirchhoff equations in \(\mathbb{R}^3\) ⋮ Ground state solutions of Pohožaev type for Kirchhoff‐type problems with general convolution nonlinearity and variable potential ⋮ Mathematical behavior of solutions of the Kirchhoff type equation with logarithmic nonlinearity ⋮ Existence of positive solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\) ⋮ Multiple positive solutions for a class of Kirchhoff equation on bounded domain
Cites Work
- Unnamed Item
- Multiple positive solutions for a Kirchhoff type problem with a critical nonlinearity
- Existence of a positive solution to Kirchhoff-type problems without compactness conditions
- Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
- Nontrivial solutions of Kirchhoff-type problems via the Yang index
- Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
- An existence and stability result for standing waves of nonlinear Schrödinger equations
- Multiplicity of solutions for a class of Kirchhoff type problems
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Multiple positive solutions for a class of Kirchhoff type equations in \(\mathbb{R}^{N}\)
- Ground state and multiple solutions for the fractional Schrödinger-Poisson system with critical Sobolev exponent
- Positive solutions for the Kirchhoff-type problem involving general critical growth. I: Existence theorem involving general critical growth.
- On the concentration phenomenon of \(L^{2}\)-subcritical constrained minimizers for a class of Kirchhoff equations with potentials
- Ground states for nonlinear Kirchhoff equations with critical growth
- Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Infinitely many positive solutions for Kirchhoff-type problems
- Positive and Nodal Solutions For a Nonlinear Schrödinger Equation with Indefinite Potential
- On the Well-Posedness of the Kirchhoff String
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