Lipschitz mappings, contingents, and differentiability.
Lipschitz r-continuity of the approximative subdifferential of a convex function.
Lipschitz regularity and approximate differentiability of the Diperna-Lions flow
Lipschitz sums of convex functions
We give a geometric characterization of the convex subsets of a Banach space with the property that for any two convex continuous functions on this set, if their sum is Lipschitz, then the functions must be Lipschitz. We apply this result to the theory of Δ-convex functions.
Lipschitzian superposition operators on metric semigroups and abstract convex cones of mappings of finite -variation.
Littlewood's inequality for -bimeasures.
lnfinitely many solutions for fractional Schrödinger equations with perturbation via variational methods
Using variational methods, we investigate the solutions of a class of fractional Schrödinger equations with perturbation. The existence criteria of infinitely many solutions are established by symmetric mountain pass theorem, which extend the results in the related study. An example is also given to illustrate our results.
Local and global solutions of well-posed integrated Cauchy problems
We study the local well-posed integrated Cauchy problem , v(0) = 0, t ∈ [0,κ), with κ > 0, α ≥ 0, and x ∈ X, where X is a Banach space and A a closed operator on X. We extend solutions increasing the regularity in α. The global case (κ = ∞) is also treated in detail. Growth of solutions is given in both cases.
Local and global -cone porosity
Local characterizations of Darboux Baire 1 functions
Local Field Singular Integrals with Complex Homogeneity.
Local maxima of a random algebraic polynomial.
Local properties of maps of the ball.
Local solvability of a constrained gradient system of total variation.
Local/global uniform approximation of real-valued continuous functions
For a Tychonoff space , is the lattice-ordered group (-group) of real-valued continuous functions on , and is the sub--group of bounded functions. A property that might have is (AP) whenever is a divisible sub--group of , containing the constant function 1, and separating points from closed sets in , then any function in can be approximated uniformly over by functions which are locally in . The vector lattice version of the Stone-Weierstrass Theorem is more-or-less equivalent...
Localic completion of generalized metric spaces I.
Loeb completion of internal vector-valued measures.
Logarithmically concave functions and sections of convex sets in
Logarithmische Konvexität und Ungleichungsscharen.
Lokale Integralnomen und verallgemeinerte uneigentliche Riemann-Stieltjes-Integrale.