Regularity for scalar integrals without structure conditions
Regularity for scalar integrals without structure conditions
Abstract Integrals of the Calculus of Variations with <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>p</m:mi> <m:mo>,</m:mo> <m:mi>q</m:mi> </m:mrow> </m:math> {p,q} -growth may have not smooth minimizers, not even bounded, for general <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>p</m:mi> <m:mo>,</m:mo> <m:mi>q</m:mi> </m:mrow> </m:math> {p,q} exponents. In this paper we consider the scalar case, which contrary to the …