Plane-like minimizers for an area-Dirichlet integral

DOI10.1007/s00205-012-0578-4zbMath1260.49004OpenAlexW2089440696MaRDI QIDQ1944734

Gonzalo Dávila

Publication date: 27 March 2013

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-012-0578-4

zbMATH Keywords

plane-like minimizersarea-Dirichlet functional Jinteger translationsuniform bounded distance

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (3)

Planelike minimizers of nonlocal Ginzburg–Landau energies and fractional perimeters in periodic media ⋮ A continuous family of equilibria in ferromagnetic media are ground states ⋮ Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium

Cites Work

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• On the behaviour at infinity of solutions to stationary convection-diffusion equation in a cylinder
• An area-Dirichlet integral minimization problem
• On the behaviour at infinity of the solution of a second-order elliptic equation given on a cylinder
• Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
• Planelike minimizers in periodic media
• Plane-like minimizers in periodic media: jet flows and Ginzburg-Landau-type functionals
• On a Liouville-type theorem for linear and nonlinear elliptic differential equations on a torus

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