Fourth-order nonlocal type elliptic problems with indefinite nonlinearities
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Publication:2022979
DOI10.1007/s42985-021-00078-8zbMath1465.35172OpenAlexW3129472521WikidataQ115370061 ScholiaQ115370061MaRDI QIDQ2022979
T. R. Cavalcante, Edcarlos D. Da Silva, José Carlos de Albuquerque
Publication date: 3 May 2021
Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s42985-021-00078-8
Boundary value problems for higher-order elliptic equations (35J40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for higher-order elliptic equations (35J35)
Cites Work
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- The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
- A fibering map approach to a potential operator equation and its applications.
- On positive solutions for a fourth order asymptotically linear elliptic equation under Navier boundary conditions
- Existence and asymptotic behavior of nodal solutions for the Kirchhoff-type problems in \(\mathbb{R}^3\)
- Superlinear problems without Ambrosetti and Rabinowitz growth condition
- Nonlinear oscillations in a suspension bridge
- Combined effects of concave and convex nonlinearities in some elliptic problems
- Traveling waves in a nonlinearly suspended beam: Theoretical results and numerical observations
- The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
- On some fourth-order semilinear elliptic problems in \(\mathbb R^N\)
- Nontrivial solutions of nonlocal fourth order elliptic equation of Kirchhoff type in \(\mathbb{R}^3\)
- Local superlinearity and sublinearity for indefinite semilinear elliptic problems.
- Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order
- Wide oscillation finite time blow up for solutions to nonlinear fourth-order differential equations
- Multiplicity of solutions for a Kirchhoff equation with subcritical or critical growth.
- Existence and multiplicity of solutions for fourth-order elliptic equations in \(\mathbb R^N\)
- Existence of solutions for fourth order elliptic equations of Kirchhoff type
- Dual variational methods in critical point theory and applications
- Two solutions for a fourth order nonlocal problem with indefinite potentials
- Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
- Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials
- The bifurcation diagram of an elliptic Kirchhoff-type equation with respect to the stiffness of the material
- Positive solutions for a quasilinear elliptic equation of Kirchhoff type
- Superlinear elliptic problems under the non-quadraticity condition at infinity
- Travelling Waves in a Suspension Bridge
- ON A CLASS OF FOURTH ORDER NONLINEAR ELLIPTIC EQUATIONS UNDER NAVIER BOUNDARY CONDITIONS
- Nontrivial solutions for some fourth order semilinear elliptic problems
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- Infinitely Many Solutions for Schrödinger–Kirchhoff-Type Fourth-Order Elliptic Equations
- Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
