Add to ORKGThe final version of the paper appears in: "Complex Analysis and Differential Equations" 64 (1999): 91-109. Print.We discuss some conjectural inequalities concerning a problem from the calculus of variations, namely that rank 1 convex functions are quasi-convex. An affirmative answer would also give the best constants for the Beurling-Ahlfors operator that appears in the theory of quasi-conformal mappings on the plane
AbstractVariational problems for the multiple integral IΩ(u) = ∝Ω g(▽u(x))dx, where Ω⊂Rm and u:Ω→Rn ...
The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard t...
In this paper some Fejér-type inequalities for superquadratic functionsare established, w...
Inspired by Morrey\u27s Problem (on rank-one convex functionals) and the Burkholder integrals (of hi...
In this paper we make some further generalization of well known Hilbert's inequality and its equival...
Some inequalities of Jensen type and connected results are given for quasiconvex functions on conve...
AbstractIn this paper we define an addition operation on the class of quasi-concave functions. While...
In this paper, by using power-mean and improved power-mean integral inequality and an general identi...
AbstractWe consider a family of two-point quadrature formulae and establish sharp estimates for the ...
A necessary condition called $H_\mu^{1,p}$-quasiconvexity on $p$-coercive integrands is introduced f...
In the calculus of variations one prominent problem is minimizing anisotropic integrals with a (p,q)...
summary:In this paper generalized quasivariational inequalities on Fréchet spaces are deduced from n...
summary:We prove higher integrability for minimizers of some integrals of the calculus of variations...
We reduce the Mathieu conjecture for $SU(2)$ to a conjecture about moments of Laurent polynomials in...
We prove a partial regularity result for local minimizers of quasiconvex variational integrals with...
AbstractVariational problems for the multiple integral IΩ(u) = ∝Ω g(▽u(x))dx, where Ω⊂Rm and u:Ω→Rn ...
The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard t...
In this paper some Fejér-type inequalities for superquadratic functionsare established, w...
Inspired by Morrey\u27s Problem (on rank-one convex functionals) and the Burkholder integrals (of hi...
In this paper we make some further generalization of well known Hilbert's inequality and its equival...
Some inequalities of Jensen type and connected results are given for quasiconvex functions on conve...
AbstractIn this paper we define an addition operation on the class of quasi-concave functions. While...
In this paper, by using power-mean and improved power-mean integral inequality and an general identi...
AbstractWe consider a family of two-point quadrature formulae and establish sharp estimates for the ...
A necessary condition called $H_\mu^{1,p}$-quasiconvexity on $p$-coercive integrands is introduced f...
In the calculus of variations one prominent problem is minimizing anisotropic integrals with a (p,q)...
summary:In this paper generalized quasivariational inequalities on Fréchet spaces are deduced from n...
summary:We prove higher integrability for minimizers of some integrals of the calculus of variations...
We reduce the Mathieu conjecture for $SU(2)$ to a conjecture about moments of Laurent polynomials in...
We prove a partial regularity result for local minimizers of quasiconvex variational integrals with...
AbstractVariational problems for the multiple integral IΩ(u) = ∝Ω g(▽u(x))dx, where Ω⊂Rm and u:Ω→Rn ...
The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard t...
In this paper some Fejér-type inequalities for superquadratic functionsare established, w...