Existence of multi-bump solutions for a class of elliptic problems involving the biharmonic operator

DOI10.1007/s00605-016-0967-0zbMath1368.35085arXiv1602.03112OpenAlexW2264396945MaRDI QIDQ527001

Claudianor Oliveira Alves, Alânnio B. Nobrega

Publication date: 15 May 2017

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.03112

zbMATH Keywords

variational methodsbiharmonic operatormulti-bump solution

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Related Items (5)

Multi-bump solutions for Choquard equation with deepening potential well ⋮ Multi-bump positive solutions for a logarithmic Schrödinger equation with deepening potential well ⋮ Multi-bump solutions for the nonlinear magnetic Choquard equation with deepening potential well ⋮ Existence and stability of solution for a nonlinear fractional differential equation ⋮ Periodic and asymptotically periodic fourth-order Schrödinger equations with critical and subcritical growth

Cites Work

• A partially hinged rectangular plate as a model for suspension bridges
• Singularly perturbed biharmonic problems with superlinear nonlinearities
• Existence and concentration of solutions for a class of biharmonic equations
• Nonlinear biharmonic boundary value problem
• Infinitely many solutions for fourth-order elliptic equations with sign-changing potential
• The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization
• Biharmonic eigenvalue problems and \(L^ p\) estimates
• Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
• Multiplicity of positive solutions of a nonlinear Schrödinger equation
• Multiple positive solutions for a nonlinear Schrödinger equation
• Local mountain passes for semilinear elliptic problems in unbounded domains
• Existence and multiplicity of solutions for fourth-order elliptic equations in \(\mathbb R^N\)
• Positive solutions to a linearly perturbed critical growth biharmonic problem
• Multiplicity of positive solutions for a class of problems with exponential critical growth in \(\mathbb R^2\)
• Multiplicity of positive solutions for a class of problems with critical growth in ℝ^N
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis

This page was built for publication: Existence of multi-bump solutions for a class of elliptic problems involving the biharmonic operator