Multibump solutions and critical groups

DOI10.1090/S0002-9947-09-04669-8zbMath1175.37066OpenAlexW2004742331MaRDI QIDQ3629391

Gianni Arioli, Andrzej Szulkin, Wen Ming Zou

Publication date: 27 May 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-09-04669-8

zbMATH Keywords

critical exponentSchrödinger equationcritical groupBernoulli shiftmultibump solutionNewtonian system

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Complex behavior and chaotic systems of ordinary differential equations (34C28) Variational methods for second-order elliptic equations (35J20)

Related Items (7)

Multibump solutions for discrete periodic nonlinear Schrödinger equations ⋮ Multibump solutions for quasilinear elliptic equations ⋮ Unstable normalized standing waves for the space periodic NLS ⋮ Multibump solutions for quasilinear elliptic equations with critical growth ⋮ Multi-bump solutions of \(-\Delta = K(x)u^{\frac{n+2}{n-2}}\) on lattices in \(\mathbb{R}^n\) ⋮ Peak solutions without non-degeneracy conditions ⋮ Odd Homoclinic Orbits for a Second Order Hamiltonian System

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