Regularity and convergence for the fourth-order Helmholtz equations and an application
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Publication:6666762
DOI10.4208/JPDE.V37.N3.6MaRDI QIDQ6666762
Yue Wang, Weimin Peng, Jing Li
Publication date: 20 January 2025
Published in: Journal of Partial Differential Equations (Search for Journal in Brave)
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for higher-order elliptic equations (35J35)
Cites Work
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- Existence and asymptotic behavior of standing waves of the nonlinear Helmholtz equation in the plane
- An integrable shallow water equation with peaked solitons
- Dual ground state solutions for the critical nonlinear Helmholtz equation
- On a fourth‐order nonlinear Helmholtz equation
- Waveguide solutions for a nonlinear Schrödinger equation with mixed dispersion
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