Fourth-order elliptic problems involving concave-superlinear nonlinearities
From MaRDI portal
Publication:2688174
DOI10.12775/TMNA.2022.011MaRDI QIDQ2688174
T. R. Cavalcante, Edcarlos D. Da Silva
Publication date: 2 March 2023
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/topological-methods-in-nonlinear-analysis/volume-60/issue-2/Fourth-order-elliptic-problems-involving-concave-superlinear-nonlinearities/10.12775/TMNA.2022.011.full
Boundary value problems for higher-order elliptic equations (35J40) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Related Items
Positive solutions for a class of biharmonic equations: existence and uniqueness ⋮ Positive solutions of biharmonic elliptic problems with a parameter ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sign-changing solutions for fourth order elliptic equations with Kirchhoff-type
- Qualitative behavior of global solutions to some nonlinear fourth order differential equations
- Fourth-order Navier boundary value problem with combined nonlinearities
- On positive solutions for a fourth order asymptotically linear elliptic equation under Navier boundary conditions
- On a superlinear elliptic equation
- Positivity preserving property for a class of biharmonic elliptic problems
- Biharmonic eigenvalue problems and \(L^ p\) estimates
- Critical growth biharmonic elliptic problems under Steklov-type boundary conditions
- Superlinear problems without Ambrosetti and Rabinowitz growth condition
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- Multiplicity of solutions for a class of fourth elliptic equations
- Nonlinear oscillations in a suspension bridge
- A note on a semilinear elliptic problem
- Traveling waves in a nonlinearly suspended beam: Theoretical results and numerical observations
- Elliptic partial differential equations of second order
- On some fourth-order semilinear elliptic problems in \(\mathbb R^N\)
- Existence of three nontrivial solutions for a class of fourth-order elliptic equations
- 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
- Dual variational methods in critical point theory and applications
- Sign-changing solutions for some fourth-order nonlinear elliptic problems
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- 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
- A quasilinear problem without the Ambrosetti–Rabinowitz-type condition
- 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
- Variational elliptic problems which are nonquadratic at infinity
- On the Ambrosetti-Rabinowitz Superlinear Condition
- Positive solutions of a fourth-order semilinear problem involving critical growth
- Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
- Existence and multiplicity of positive solutions for a fourth-order elliptic equation
