A dual approach in Orlicz spaces for the nonlinear Helmholtz equation

DOI10.1007/s00033-015-0572-4zbMath1333.35016OpenAlexW1233396242MaRDI QIDQ903220

Gilles Evéquoz

Publication date: 5 January 2016

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-015-0572-4

zbMATH Keywords

Orlicz spacesnonlinear Helmholtz equationdual variational method

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20)

Related Items (12)

Existence and asymptotic behavior of standing waves of the nonlinear Helmholtz equation in the plane ⋮ Dual variational methods for a nonlinear Helmholtz system ⋮ Oscillating solutions for prescribed mean curvature equations: Euclidean and Lorentz-Minkowski cases ⋮ On isolated singular solutions of semilinear Helmholtz equation ⋮ Oscillating solutions for nonlinear equations involving the Pucci's extremal operators ⋮ An annulus multiplier and applications to the limiting absorption principle for Helmholtz equations with a step potential ⋮ Oscillating solutions for nonlinear Helmholtz equations ⋮ On the periodic and asymptotically periodic nonlinear Helmholtz equation ⋮ Branch continuation inside the essential spectrum for the nonlinear Schrödinger equation ⋮ Uncountably many solutions for nonlinear Helmholtz and curl-curl equations ⋮ Fourier extension estimates for symmetric functions and applications to nonlinear Helmholtz equations ⋮ Variational methods for breather solutions of nonlinear wave equations

Cites Work

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