Multiplicity of solutions of the bi-harmonic Schrödinger equation with critical growth
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Publication:1635945
DOI10.1007/S00033-018-0940-YzbMath1391.31010OpenAlexW2790136837MaRDI QIDQ1635945
Wei Shao, Zhenluo Lou, Yanju Ji, Jian Zhang
Publication date: 1 June 2018
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-018-0940-y
Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Variational methods for higher-order elliptic equations (35J35)
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Cites Work
- Unnamed Item
- Unnamed Item
- Ground state and multiple solutions for Schrödinger-Poisson equations with critical nonlinearity
- Multiplicity of solutions for a biharmonic equation with subcritical or critical growth
- Existence and concentration of solutions for a class of biharmonic equations
- Nonlinear biharmonic problems with singular potentials
- Multiple positive solutions for Kirchhoff-type problems in \({\mathbb{R}^3}\) involving critical Sobolev exponents
- A fourth-order equation with critical growth: the effect of the domain topology
- The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
- Concentration for a bi-harmonic Schrödinger equation with critical nonlinearity
- Ground-state solution for a class of biharmonic equations including critical exponent
- Multiple and sign-changing solutions for a class of semilinear biharmonic equation
- Multiple positive solutions for a class of concave-convex elliptic problems in \(\mathbb R^N\) involving sign-changing weight
- Critical point theory and Hamiltonian systems
- On a class of nonlinear Schrödinger equations
- Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology
- Semi-classical states for nonlinear Schrödinger equations
- Semiclassical states of nonlinear Schrödinger equations
- Multi-peak bound states for nonlinear Schrödinger equations
- Four positive solutions for the semilinear elliptic equation: \(-\Delta u+u=a(x) u^p +f(x)\) in \(\mathbb{R}^N\)
- On concentration of positive bound states of nonlinear Schrödinger equations
- Semi-classical states of nonlinear Schrödinger equations: a variational reduction method
- Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities
- Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Minimax theorems
- Multiplicity of positive and nodal solutions for nonlinear elliptic problems in \(\mathbb{R}^ N\)
- Semiclassical solutions of Schrödinger equations with magnetic fields and critical nonlinearities
- Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
- Standing waves for nonlinear Schrödinger equations with a general nonlinearity
- Critical exponents, critical dimensions and the biharmonic operator
- Travelling Waves in a Suspension Bridge
- On the shape of least‐energy solutions to a semilinear Neumann problem
- Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method
- Solutions of biharmonic equations with steep potential wells
- Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
- Non-trivial solutions for a semilinear biharmonic problem with critical growth and potential vanishing at infinity
- Nontrivial solutions for a class of semilinear biharmonic problems involving critical exponents
- Multiplicity results for some nonlinear Schrödinger equations with potentials
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