Self-focusing multibump standing waves in expanding waveguides

DOI10.1007/s00032-011-0147-6zbMath1229.35285OpenAlexW2057997648MaRDI QIDQ640716

Filomena Pacella, Mónica Clapp, Nils Ackermann

Publication date: 19 October 2011

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-011-0147-6

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Antennas, waveguides in optics and electromagnetic theory (78A50) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (8)

Multi-bump solutions for nonlinear elliptic equations involving critical Sobolev exponents ⋮ Existence of clustering high dimensional bump solutions of superlinear elliptic problems on expanding annuli ⋮ A computer-assisted existence proof for Emden's equation on an unbounded L-shaped domain ⋮ Solutions of semilinear elliptic equations in tubes ⋮ Multi-bump positive solutions for a nonlinear elliptic problem in expanding tubular domains ⋮ Least energy solutions of the Emden-Fowler equation in hollow thin symmetric domains ⋮ Multiple positive solutions of the Emden-Fowler equation in hollow thin symmetric domains ⋮ Alternating Sign Multibump Solutions of Nonlinear Elliptic Equations in Expanding Tubular Domains

Cites Work

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• Asymptotically radial solutions in expanding annular domains
• Existence of many positive nonradial solutions for nonlinear elliptic equations on an annulus
• A nonlinear boundary value problem with many positive solutions
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Nonlinear elliptic equations on expanding symmetric domains
• Existence of many nonequivalent nonradial positive solutions of semilinear elliptic equations on three-dimensional annuli
• Real analyticity and non-degeneracy
• Existence of many positive solutions of semilinear equations on annulus
• Inequalities for second-order elliptic equations with applications to unbounded domains. I
• Alternating Sign Multibump Solutions of Nonlinear Elliptic Equations in Expanding Tubular Domains
• Potential Space Estimates for Green Potentials in Convex Domains
• MULTIBUMP SOLUTIONS FOR AN ELLIPTIC PROBLEM IN EXPANDING DOMAINS

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