Imbeddings and bounds for functions with \(L^{q}\)-Laplacians

DOI10.1016/j.jmaa.2011.04.088zbMath1220.35022OpenAlexW2084723125MaRDI QIDQ549826

J. F. G. Auchmuty

Publication date: 18 July 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.04.088

zbMATH Keywords

Poisson's equationSobolev inequalityimbeddingreproducing kernel Hilbert space

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Parametric Dependence of Boundary Trace Inequalities

Cites Work

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• Spectral analysis of a singular nonself-adjoint boundary value problem
• Best constant in Sobolev inequality
• Integral representation and \(L^ \infty\) bounds for solutions of the Helmholtz equation on arbitrary open sets in \(\mathbb{R}^ 2\) and \(\mathbb{R}^ 3\)
• Variational solutions of some nonlinear free boundary problems

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