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Existence and regularity of weak solutions to the prescribed mean curvature equation for a nonparametric surface

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Publication:1596329
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DOI10.1155/S1085337599000019zbMath0979.35053MaRDI QIDQ1596329

M. M. Cassinelli, D. F. Rial, Maria Christina Mariani, Pablo Amster

Publication date: 21 August 2001

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/49052


zbMATH Keywords

Palais-Smale conditionDirichlet boundary conditionvariational methodEuler-Lagrange equationmultiple solution


Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)


Related Items (4)

Mountain pass solutions to equations of \(p\)-Laplacian type. ⋮ Extensions of the Nemytsky operator: distributional solutions of nonlinear problems ⋮ On the uniqueness of solutions of spectral equations ⋮ Complex Gleason measures and the Nemytsky operator




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