A Fourier approach for nonlinear equations with singular data

DOI10.1007/s11856-012-0032-1zbMath1281.35037OpenAlexW2089322962MaRDI QIDQ1955861

Lucas C. F. Ferreira, Marcelo Montenegro

Publication date: 19 June 2013

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

Full work available at URL: https://doi.org/10.1007/s11856-012-0032-1

zbMATH Keywords

Fourier transformsdifferential operatorsnonlinear equationsLaplacianexistence and uniquenesssingular datadecay and regularity

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Singular elliptic equations (35J75)

Related Items (7)

ON A CLASS OF ELLIPTIC SYSTEM OF SCHRÖDINGER–POISSON TYPE ⋮ On elliptic equations with singular potentials and nonlinear boundary conditions ⋮ A Fourier analysis approach to elliptic equations with critical potentials and nonlinear derivative terms ⋮ Global existence of the two-dimensional QGE with sub-critical dissipation ⋮ On the heat equation with nonlinearity and singular anisotropic potential on the boundary ⋮ On singular elliptic boundary value problems via a harmonic analysis approach ⋮ Nonlinear biharmonic equation in half-space with rough Neumann boundary data and potentials

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