The boundary value problems for nonlinear elliptic equations and the maximum principle for Euler-Lagrange equations

DOI10.1007/BF00281501zbMath0603.35036OpenAlexW4230611625MaRDI QIDQ1082532

Ilya J. Bakelman

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf00281501

zbMATH Keywords

maximum principleexistenceEuler-Lagrange equationsestimatesasymptotic coneMonge-Ampère equationsinfinite convex hypersurfaces

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods applied to PDEs (35A15) Maximum principles in context of PDEs (35B50)

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Noncompact L_p-Minkowski problems

Cites Work

• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• On the regularity of the solution of then-dimensional Minkowski problem
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
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