Multi-bump type nodal solutions having a prescribed number of nodal domains. I.

DOI10.1016/j.anihpc.2004.10.002zbMath1130.35054OpenAlexW4210369694MaRDI QIDQ2575850

Zhaoli Liu, Zhi-Qiang Wang

Publication date: 7 December 2005

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_2005__22_5_597_0

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Periodic solutions to PDEs (35B10) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (11)

Multibump solutions for discrete periodic nonlinear Schrödinger equations ⋮ Multibump solutions for quasilinear elliptic equations ⋮ Sign-changing solutions of nonlinear elliptic equations ⋮ Multibump solutions for quasilinear elliptic equations with critical growth ⋮ Multi-bump solutions for logarithmic Schrödinger equations ⋮ Multi-bump solutions for a strongly indefinite semilinear Schrödinger equation without symmetry or convexity assumptions ⋮ Existence of positive solutions for a semilinear Schrödinger equation in \(\mathbb{R}^{N}\) ⋮ A nonlinear superposition principle and multibump solutions of periodic Schrödinger equations ⋮ MULTI-BUBBLE SOLUTIONS FOR EQUATIONS OF CAFFARELLI–KOHN–NIRENBERG TYPE ⋮ Multi-bump type nodal solutions having a prescribed number of nodal domains. II. ⋮ Normalized multi-bump solutions of nonlinear Schrödinger equations via variational approach

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