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Petteri Harjulehto

Petteri Harjulehto

D-Index & Metrics

Mathematics

D-Index
32
Citations
5947
World Ranking
3138
National Ranking
24

Overview

Petteri Harjulehto is affiliated with the University of Turku in Finland. Their research primarily spans two main fields: Mathematics and Computer Science, with a focus on several subfields including Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics, Geometry and Topology, and Numerical Analysis.

The scholar's work addresses a range of topics concentrated in advanced mathematical and computational areas. Key themes include:

  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Advanced Harmonic Analysis Research
  • Numerical methods in inverse problems
  • Nonlinear Differential Equations Analysis
  • Optimization and Variational Analysis
  • Mathematical Approximation and Integration

Petteri Harjulehto has contributed to numerous publications with frequent appearances in respected venues. These include:

  • arXiv (Cornell University)
  • Journal of Differential Equations
  • Journal of Mathematical Analysis and Applications
  • Mathematische Nachrichten
  • Journal of Functional Analysis

Some of their recent papers are:

  • "A new class of double phase variable exponent problems: Existence and uniqueness" (2022), published in the Journal of Differential Equations
  • "Double phase image restoration" (2020), published in the Journal of Mathematical Analysis and Applications
  • "The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth" (2020), Journal of Differential Equations
  • "On Choquet integrals and Poincaré-Sobolev inequalities" (2023), Journal of Functional Analysis
  • "A revised condition for harmonic analysis in generalized Orlicz spaces on unbounded domains" (2024), published in Mathematische Nachrichten

Their collaborations frequently involve a set of coauthors, indicating ongoing joint research in related fields. These collaborators include:

  • Peter Hästö
  • Ritva Hurri-Syrjänen
  • Arttu Karppinen
  • Michela Eleuteri
  • Giacomo Bertazzoni

Best Publications

  • Lebesgue and Sobolev Spaces with Variable Exponents

    Unknown

  • Lebesgue and Sobolev Spaces with Variable Exponents

    Lars Diening;Petteri Harjulehto;Peter Hästö;Michael Ruzicka

  • Orlicz Spaces and Generalized Orlicz Spaces

    Petteri Harjulehto;Peter Hästö

  • Overview of differential equations with non-standard growth

    Petteri Harjulehto;Peter Hästö;Út V. Lê;Matti Nuortio

  • A new class of double phase variable exponent problems: Existence and uniqueness

    Ángel Crespo-Blanco;Leszek Gasiński;Petteri Harjulehto;Patrick Winkert

  • The Dirichlet Energy Integral and Variable Exponent Sobolev Spaces with Zero Boundary Values

    Petteri Harjulehto;Peter Hästö;Mika Koskenoja;Susanna Varonen

  • Variable Exponent Lebesgue Spaces on Metric Spaces: The Hardy-Littlewood Maximal Operator

    Petteri Harjulehto;Peter Hästö;Mikko Pere

  • Hölder regularity of quasiminimizers under generalized growth conditions

    Petteri Harjulehto;Peter Hästö;Peter Hästö;Olli Toivanen

  • Critical variable exponent functionals in image restoration

    Peter Harjulehto;P. Hästö;V. Latvala;O. Toivanen

  • Generalized Orlicz Spaces

    Petteri Harjulehto;Peter Hästö

  • MAXIMAL FUNCTIONS IN VARIABLE EXPONENT SPACES: LIMITING CASES OF THE EXPONENT

    Lars Diening;Petteri Harjulehto;Peter Hästö;Yoshihiro Mizuta

  • Minimizers of the variable exponent, non-uniformly convex Dirichlet energy

    Petteri Harjulehto;Peter Hästö;Visa Latvala

  • Variable exponent Sobolev spaces with zero boundary values

    Petteri Harjulehto

  • Generalized Orlicz spaces and related PDE

    Petteri Harjulehto;Peter Hästö;Riku Klén

  • Hardy's Inequality in a Variable Exponent Sobolev Space

    Petteri Harjulehto;Peter Hst;Mika Koskenoja

  • Sobolev capacity on the space W1, p(⋅)(ℝn)

    Petteri Harjulehto;Peter Hästö;Mika Koskenoja;Susanna Varonen

  • Bessel potential spaces with variable exponent

    Petr Gurka;Petteri Harjulehto;Aleš Nekvinda

  • Sobolev inequalities with variable exponent attaining the values $1$ and $n$

    Petteri Harjulehto;Peter Hästö

  • Sobolev embeddings in metric measure spaces with variable dimension

    Petteri Harjulehto;Peter Hästö;Visa Latvala

  • Maximal Operator in Variable Exponent Lebesgue Spaces on Unbounded Quasimetric Measure Spaces

    Tomasz Adamowicz;Petteri Harjulehto;Peter Hästö

  • Unbounded Supersolutions of Nonlinear Equations with Nonstandard Growth

    Petteri Harjulehto;Juha Kinnunen;Teemu Lukkari

  • A capacity approach to the Poincare inequality and Sobolev imbeddings in variable exponent Sobolev spaces

    Petteri Harjulehto;Peter Hästö

Frequent Co-Authors

Peter Hästö
Peter Hästö University of Helsinki
Lars Diening
Lars Diening Bielefeld University
Michael Růžička
Michael Růžička University of Freiburg
Tuomo Kuusi
Tuomo Kuusi University of Helsinki

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