Two positive solutions for the Kirchhoff type elliptic problem with critical nonlinearity in high dimension
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Publication:2312586
DOI10.1016/j.na.2019.02.003zbMath1421.35116OpenAlexW2922123035WikidataQ128299971 ScholiaQ128299971MaRDI QIDQ2312586
Masataka Shibata, Daisuke Naimen
Publication date: 17 July 2019
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2019.02.003
Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
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Cites Work
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- Existence of a positive solution to Kirchhoff-type problems without compactness conditions
- 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 \(\mathbb R^3\)
- A global compactness result for elliptic boundary value problems involving limiting nonlinearities
- Nontrivial solutions of Kirchhoff-type problems via the Yang index
- A note on a nonlinear elliptic problem with a nonlocal coefficient
- Compactness and the Palais-Smale property for critical Kirchhoff equations in closed manifolds
- The concentration-compactness principle in the calculus of variations. The limit case. I
- Symmetry and related properties via the maximum principle
- On nonhomogeneous elliptic equations involving critical Sobolev exponent
- Best constant in Sobolev inequality
- The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
- Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
- Energy functionals of Kirchhoff-type problems having multiple global minima
- Positive solutions of Kirchhoff type elliptic equations involving a critical Sobolev exponent
- Dual variational methods in critical point theory and applications
- Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior
- The critical problem of Kirchhoff type elliptic equations in dimension four
- Positive solutions for a quasilinear elliptic equation of Kirchhoff type
- Remarks on a nonlocal problem involving the Dirichlet energy
- Multiplicity of solutions for critical Kirchhoff type equations
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- On a class of nonlocal elliptic problems with critical growth
- ON A CLASS OF QUASILINEAR HYPERBOLIC EQUATIONS
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- Positive solutions for the p-Laplacian: application of the fibrering method
- Some remarks on non local elliptic and parabolic problems
- On the Brezis-Nirenberg Problem with a Kirchhoff Type Perturbation
- Variational Methods
- Uniqueness of solutions of nonlinear Dirichlet problems
