41 citations · 123 across the 24 of their papers we have counts for
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A note on new mapping properties for Wolff potential
Petteri Harjulehto, Ritva Hurri-Syrjänen
We study integrability properties of the Wolff potential in context of Choquet integrals with respect to the Hausdorff content. As an application we give integrability results to t…
A note on Sobolev inequalities in the lower limit case
Petteri Harjulehto, Ritva Hurri-Syrjänen
We study Poincare-Sobolev type inequalities for compactly supported smooth functions which are defined in the Euclidean -space and whose absolute value of gradient are Choquet $…
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…
On Choquet integrals and Sobolev type inequalities
Petteri Harjulehto, Ritva Hurri-Syrjänen
We consider integrals in the sense of Choquet with respect to the -dimensional Hausdorff content for continuously differentiable functions defined on open, connected sets in the…
Monotone approximation of differentiable convex functions with applications to general minimization problems
Petteri Harjulehto, Peter Hästö, Andrea Torricelli
We study minimizers of non-autonomous energies with minimal growth and coercivity assumptions on the energy. We show that the minimizer is nevertheless the solution of the relevant…
Convergence of generalized Orlicz norms with lower growth rate tending to infinity
Giacomo Bertazzoni, Petteri Harjulehto, Peter Hästö
We study convergence of generalized Orlicz energies when the lower growth-rate tends to infinity. We generalize results by Bocea--Mihăilescu (Orlicz case) and Eleuteri--Prinari (va…
Bloch estimates in non-doubling generalized Orlicz spaces
Petteri Harjulehto, Peter Hästö, Jonne Juusti
We study minimizers of non-autonomous functionals \begin{align*} \inf_u \int_Ωφ(x,|\nabla u|) \, dx \end{align*} when has generalized Orlicz growth. We consider the case where…
Stability of solutions to obstacle problems with generalized Orlicz growth
Petteri Harjulehto, Arttu Karppinen
We consider nonlinear equations having generalized Orlicz growth (also known as Musielak--Orlicz growth). We prove that if differential operators converge locally u…
Minimizers of abstract generalized Orlicz--bounded variation energy
Michela Eleuteri, Petteri Harjulehto, Peter Hästö
A way to measure the lower growth rate of is to require to be increasing in . If this condition holds wit…
A new class of double phase variable exponent problems: Existence and uniqueness
Ángel Crespo-Blanco, Leszek Gasiński, Petteri Harjulehto +1
In this paper we introduce a new class of quasilinear elliptic equations driven by the so-called double phase operator with variable exponents. We prove certain properties of the c…
The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth
Allami Benyaiche, Petteri Harjulehto, Peter Hästö +1
We study unbounded weak supersolutions of elliptic partial differential equations with generalized Orlicz (Musielak--Orlicz) growth. We show that they satisfy the weak Harnack ineq…
The Kellogg property under generalized growth conditions
Petteri Harjulehto, Jonne Juusti
We study minimizers of the Dirichlet phi-energy integral with generalized Orlicz growth. We prove the Kellogg property, the set of irregular points has zero capacity, and give char…
Double phase image restoration
Petteri Harjulehto, Peter Hästö
In this paper we explore the potential of the double phase functional in an image processing context. To this end, we study minimizers of the double phase energy for functions with…
Hölder continuity of -minimizers of functionals with generalized Orlicz growth
Petteri Harjulehto, Peter Hästö, Mikyoung Lee
We show local Hölder continuity of quasiminimizers of functionals with non-standard (Musielak--Orlicz) growth. Compared with previous results, we cover more general minimizing func…