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Sherlock Holmes and “The Book of Life”e corresponding Euler-Lagrange equations, whose gradients satisfy some prescribed limitations. Such problems arise in the calculus of variations, differential geometry and continuum mechanics. Typical examples of these problems are presented in §§ 23, 24. Some of these estimates are called geometric maximum principles for variational problems.
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发表于 2025-3-25 07:44:52
https://doi.org/10.1007/978-3-642-69881-1Convex analysis; Differentialgleichungen zweiter Ordnung; Monge-ampere equations; calculus; curvature; di
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lems, we are provided with a fundamental vehicle: The theory of convex bodies and hypersurfaces. In this book we systematically present a series of centrally significant results obtained in the second half of the twentieth century up to the present time. Particular attention is given to profound interconnecti978-3-642-69883-5978-3-642-69881-1
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发表于 2025-3-26 15:36:31
Non-Compact Problems for Elliptic Solutions of Monge-Ampere Equationso nonnegative functions.(.)for all . ∈ ., . ∈ ., . ∈ .. As we know, any convex generalized solution . of equation (*) satisfies this equation almost everywhere in any compact subset of . and the set function . generated by .), is absolutely continuous on the family of Borel subsets of ..
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