Abundance of entire solutions to nonlinear elliptic equations by the variational method
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Publication:2280370
DOI10.1016/j.na.2019.111590zbMath1471.35160arXiv1811.03143OpenAlexW2968529575WikidataQ127340187 ScholiaQ127340187MaRDI QIDQ2280370
P. E. Naryshkin, Alexander I. Nazarov, Lev M. Lerman
Publication date: 18 December 2019
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.03143
Variational methods for second-order elliptic equations (35J20) Entire solutions to PDEs (35B08) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
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Cites Work
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- Multiplicity of 1D-concentrated positive solutions to the Dirichlet problem for an equation with \(p\)-Laplacian
- Proof of quasipatterns for the Swift-Hohenberg equation
- Finite-energy sign-changing solutions with dihedral symmetry for the stationary nonlinear Schrödinger equation
- On existence of nontrivial solutions for the equation \(\Delta u-u+u^ 3=0\)
- The principle of symmetric criticality
- On radial solutions of the Swift-Hohenberg equation
- Nonlinear scalar field equations. I: Existence of a ground state
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Some new entire solutions of semilinear elliptic equations on \(\mathbb R^n\)
- Rearrangements and convexity of level sets in PDE
- A reduction principle for nonautonomous systems in infinite-dimensional spaces
- Hamiltonian and Lagrangian flows on center manifolds with applications to elliptic variational problems
- On the bounded solutions of a semilinear elliptic equation in a strip
- Large patterns of elliptic systems in infinite cylinders
- Essential manifolds for an elliptic problem in an infinite strip
- Solutions of nonlinear planar elliptic problems with triangle symmetry
- Exponential dichotomies for solitary-wave solutions of semilinear elliptic equations on infinite cylinders
- Classification of positive solutions of semilinear elliptic equations.
- Existence of many positive solutions of semilinear equations on annulus
- Wave-solutions of reversible systems and applications
- Multi-bump positive solutions for a nonlinear elliptic problem in expanding tubular domains
- Spots in the Swift--Hohenberg Equation
- On solutions to the Dirichlet problem for an equation with 𝑝-Laplacian in a spherical layer
- Spectra of Linearized Operators for NLS Solitary Waves
- Water waves as a spatial dynamical system; infinite depth case
- Multi-pulse evolution and space-time chaos in dissipative systems
- On the Infinitely Many Solutions of a Semilinear Elliptic Equation
- Regular attractor for a non-linear elliptic system in a cylindrical domain
- ATTRACTOR OF THE GENERALIZED SEMIGROUP GENERATED BY AN ELLIPTIC EQUATION IN A CYLINDRICAL DOMAIN
- Attractors for modulation equations on unbounded domains-existence and comparison
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Stationary layered solutions for a system of Allen-Cahn type equations
