Solutions to a fourth-order elliptic equation with steep potential
DOI10.1016/J.AML.2021.107155zbMath1479.35321OpenAlexW3135641267MaRDI QIDQ2233245
Publication date: 15 October 2021
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2021.107155
variational methodfourth-order elliptic equationexistence and multiplicityconcave-convex nonlinearitiessteep potential
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order elliptic equations (35J30) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
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Cites Work
- Multiplicity and concentration of positive solutions for semilinear elliptic equations with steep potential
- Sign changing bump solutions for Schrödinger equations involving critical growth and indefinite potential wells
- Combined effects of concave and convex nonlinearities in some elliptic problems
- The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
- Multiplicity of solutions to Schrödinger-Poisson system with concave-convex nonlinearities
- Nontrivial solutions of nonlocal fourth order elliptic equation of Kirchhoff type in \(\mathbb{R}^3\)
- On the variational principle
- Two homoclinic solutions for a nonperiodic fourth order differential equation with a perturbation
- Multiplicity results of nonlinear fractional magnetic Schrödinger equation with steep potential
- Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- 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
- Existence and multiplicity results for some superlinear elliptic problems on RN
- On Schrödinger–Poisson systems involving concave–convex nonlinearities via a novel constraint approach
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