On necessary conditions for the comparison principle and the sub- and supersolution method for the stationary Kirchhoff equation
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Publication:3134099
DOI10.1063/1.5021685zbMath1387.35239arXiv1710.11061OpenAlexW3102817506MaRDI QIDQ3134099
Eugenio Massa, Leonelo Iturriaga
Publication date: 8 February 2018
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.11061
Nonlinear elliptic equations (35J60) Boundary value problems for second-order elliptic systems (35J57)
Related Items (8)
Sobolev versus Hölder local minimizers in degenerate Kirchhoff type problems ⋮ Positive solutions for some classes of stationary Kirchhoff equations ⋮ Concave-convex behavior for a Kirchhoff type equation with degenerate nonautonomous coefficient ⋮ Positive solution for an indefinite fourth-order nonlocal problem ⋮ Existence of positive solutions for a class of semipositone problems with Kirchhoff operator ⋮ Existence of positive solutions for a class of \(\left(p \left(x\right), q \left(x\right)\right)\)-Laplacian elliptic systems with multiplication of two separate functions ⋮ Existence of solutions for a nonhomogeneous elliptic Kircchoff type equation ⋮ Parabolic Kirchhoff equations with non-homogeneous flux boundary conditions: well-posedness, regularity and asymptotic behavior
Cites Work
- Unnamed Item
- Ground state sign-changing solutions for Kirchhoff type problems in bounded domains
- Existence of solutions for Kirchhoff type problems with resonance at higher eigenvalues
- Complexiton solutions to integrable equations
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
- Multiple solutions for a class of Kirchhoff type problems with concave nonlinearity
- Existence of solutions for a \(p(x)\)-Kirchhoff-type equation
- Existence of solution for a class of nonlocal elliptic problem via sub-supersolution method
- Positive solutions for a quasilinear elliptic equation of Kirchhoff type
- Some counterexamples related to the stationary Kirchhoff equation
- On an elliptic equation of p-Kirchhoff type via variational methods
- A sub-supersolution approach for a quasilinear Kirchhoff equation
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