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Generalized maximal functions and related operators on weighted Musielak-Orlicz spaces
(Suomalainen Tiedeakatemia, 2014-02)
We characterize the class of weights related to the boundedness of maximal operators associated to a Young function η in the context of variable Lebesgue spaces. Fractional versions of these results are also obtained by ...
Orlicz boundedness for certain classical operators
(Institute of Mathematics - Polish Academy of Sciencies, 2002-06)
Let ɸ and ψ be functions defined on [0,∞) taking the value zero at zero and with non-negative continuous derivative. Under very mild extra assumptions we find necessary and sufficient conditions for the fractional maximal ...
GENERALIZATIONS OF THE ORLICZ-PETTIS THEOREM
(Universidad Católica del Norte, Departamento de Matemáticas, 2005)
Decay bounds for nonlocal evolution equations in Orlicz spaces
(Duke University Press, 2016-03)
We show decay bounds of the form ∫Rd ϕ(u(x,t))dx≤Ct-μ for integrable and bounded solutions to the nonlocal evolution equation ut(x,t)= ∫Rd J(x,y)G(u(y,t)-u(x,t))(u(y,t)-u(x,t))dy+f(u(x,t)). Here G is a nonnegative and even ...
Inhomogeneous torsional creep problems in anisotropic Orlicz Sobolev spaces
(American Institute of Physics, 2018-07)
In this paper, we study the asymptotic behavior of the sequence of solutions for a family of torsional creep-type problems, involving inhomogeneous and anisotropic differential operators, on a bounded domain, subject to ...
Neumann and Robin type boundary conditions in Fractional Orlicz-Sobolev spaces
(Cambridge University Press, 2020-10)
In the first part of this article we deal with the existence of at least three non-trivial weak solutions of a nonlocal problem with nonstandard growth involving a nonlocal Robin type boundary condition. The second part ...
Mínimos em C1 versus Orlicz-Sobolev e multiplicidade global de soluções positivas para problemas elípticos quasilineares
(2014-11-24)
Os principais objetivos deste trabalho consistem em estudar os espaços de Orlicz, Orlicz-Sobolev e abordar a relação entre a minimalidade de um funcional na topologia de C1() com a minimalidade desse funcional na topologia ...
Isomorphisms between spaces of Lipschitz functions
(Guido De Philippis, 2019)
We develop tools for proving isomorphisms of normed spaces
of Lipschitz functions over various doubling metric spaces and Banach
spaces. In particular, we show that Lip0(Zd) ≃ Lip0(Rd), for all d ∈ N.
More generally, ...
INTERPOLATION OF ORLICZ-VALUED FUNCTION-SPACES AND UMD PROPERTY
(Polish Acad Sciences Inst MathematicsWarsawPolónia, 1991)
Mountain pass type solutions for quasilinear elliptic inclusions
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2002)
We establish the existence of weak solutions to the inclusion problem