Multi-peak bound states for nonlinear Schrödinger equations

DOI10.1016/S0294-1449(97)89296-7zbMath0901.35023MaRDI QIDQ1384717

Patricio L. Felmer, Manuel A. del Pino

Publication date: 20 April 1998

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1998__15_2_127_0

zbMATH Keywords

positive solutionlocal maximamultibump solution

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

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Cites Work

• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• On a class of nonlinear Schrödinger equations
• On concentration of positive bound states of nonlinear Schrödinger equations
• On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
• Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
• Local mountain passes for semilinear elliptic problems in unbounded domains
• Uniqueness of the positive solution of \(\Delta u+f(u)=0\) in an annulus
• Correction to existence of semiclassical bound states of nonlinear scierodinger equations with potentials of the, class (V)_a
• Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)_a
• Uniqueness of the ground state solutions of △u+f(u)=0 in Rⁿ, n≥3
• Homoclinic type solutions for a semilinear elliptic PDE on ℝⁿ
• Existence and non-existence results for semilinear elliptic problems in unbounded domains

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