28 citations · 32 across the 14 of their papers we have counts for
14 papers
Intrinsic Schauder estimates at nearly linear growth
Cristiana De Filippis, Filomena De Filippis, Peter Hästö
We develop a nonlinear potential theoretic framework for Schauder estimates for vector-valued solutions of a broad class of nonautonomous variational problems at nearly linear grow…
Higher integrability for parabolic PDEs with generalized Orlicz growth
Peter Hästö, Jihoon Ok
We prove higher integrability of the gradient of weak solutions to nonlinear parabolic systems whose prototype is \[ \partial_t u-\mathrm{div}\Big(\frac{φ'(z, |\nabla u|)}{|\nabla…
Relaxation of quasi-convex functionals with variable exponent growth
Giacomo Bertazzoni, Petteri Harjulehto, Peter Hästö +1
We prove a relaxation result for a quasi-convex bulk integral functional with variable exponent growth in a suitable space of bounded variation type. A key tool is a decomposition…
Mean oscillation conditions for nonlinear equation and regularity results
Peter Hästö, Mikyoung Lee, Jihoon Ok
We consider general nonlinear elliptic equations of the form \[ \operatorname{div}\, A(x,Du) = 0 \quad \text{in } Ω, \] where satisfies a qu…
Riesz spaces with generalized Orlicz growth
Peter Hästö, Jonne Juusti, Humberto Rafeiro
We consider a Riesz -variation for functions defined on the real line when is a generalized -function. We show that it generates a quas…
Extension in generalized Orlicz spaces
Petteri Harjulehto, Peter Hästö
We prove that a -function can be extended from a domain to all of while preserving crucial properties for harmonic analysis on the generalized Orlicz space $L^…