Petteri Harjulehto

Applied Mathematics · 2003–2021

A researcher in the Science corpus: 20 papers; trusts 48 researchers and is trusted by 41 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 213 citations into it; #401 of 7,620 by trust here, #104 by citations
• Computational Theory and Mathematics — 146 citations into it; #1,119 of 12,182 by trust here, #341 by citations
• Mathematical Physics — 112 citations into it; #2,338 of 8,562 by trust here, #1,961 by citations
• Computational Mechanics — 14 citations into it; #9,219 of 10,001 by trust here, #6,877 by citations
• Geometry and Topology — 14 citations into it
• Mechanics of Materials — 12 citations into it; #5,862 of 6,291 by trust here, #4,968 by citations
• Biomedical Engineering — 9 citations into it
• Civil and Structural Engineering — 9 citations into it

Whom Petteri Harjulehto trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Xianling Fan
2. Lars Diening
3. P. Hasto
4. S. Samko
5. Giuseppe Mingione
6. M. Růžička
7. E. Acerbi
8. D. Cruz-Uribe
9. Maria Colombo
10. L. Pick

Who trusts Petteri Harjulehto overall

1. P. Hasto
2. D. Cruz-Uribe
3. Lars Diening
4. Dachun Yang
5. V. Kokilashvili
6. Cristiana De Filippis
7. Alexandre Almeida
8. Piotr Gwiazda
9. Y. Mizuta
10. Giuseppe Mingione

Papers from Petteri Harjulehto's perspective

Ordered by how strongly the researchers Petteri Harjulehto trusts endorse each paper. Same corpus, a different order for every researcher.

1. On the Spaces L and W
2. Electrorheological Fluids : Modeling and Mathematical Theory (Mathematical Analysis in Fluid and Gas Dynamics)
3. Bounded Minimisers of Double Phase Variational Integrals
4. Lebesgue and Sobolev Spaces with Variable Exponents
5. An example of a space Lp(x) on which the Hardy-Littlewood maximal operator is not bounded
6. Variable Exponent Lebesgue Spaces on Metric Spaces: The Hardy-Littlewood Maximal Operator
7. Some remarks on the Hardy-Littlewood maximal function on variable Lp spaces
8. Singular Integrals in Weighted Lebesgue Spaces with Variable Exponent
9. Variable Lebesgue Spaces: Foundations and Harmonic Analysis
10. Variable Exponent, Linear Growth Functionals in Image Restoration (SIAM Journal on Applied Mathematics)

Their papers

• Lebesgue and Sobolev Spaces with Variable Exponents (2011) — 2,877 citations
• Hölder regularity of quasiminimizers under generalized growth conditions (2017) — 138 citations
• The Dirichlet Energy Integral and Variable Exponent Sobolev Spaces with Zero Boundary Values (2006) — 227 citations
• Overview of differential equations with non-standard growth (2010) — 390 citations
• Minimizers of the variable exponent, non-uniformly convex Dirichlet energy (2008) — 138 citations
• Generalized Orlicz spaces and related PDE (2016) — 107 citations
• A capacity approach to the Poincare inequality and Sobolev imbeddings in variable exponent Sobolev spaces (2004) — 52 citations
• A new class of double phase variable exponent problems: Existence and uniqueness (2021) — 228 citations
• Orlicz Spaces and Generalized Orlicz Spaces (2019) — 542 citations
• Hardy's Inequality in a Variable Exponent Sobolev Space (2005) — 76 citations
• Maximal Operator in Variable Exponent Lebesgue Spaces on Unbounded Quasimetric Measure Spaces (2015) — 77 citations
• MAXIMAL FUNCTIONS IN VARIABLE EXPONENT SPACES: LIMITING CASES OF THE EXPONENT (2009) — 126 citations
• Sobolev inequalities with variable exponent attaining the values $1$ and $n$ (2008) — 48 citations
• Bessel potential spaces with variable exponent (2007) — 61 citations
• Sobolev embeddings in metric measure spaces with variable dimension (2006) — 72 citations
• Variable exponent Sobolev spaces on metric measure spaces (2006) — 55 citations
• Unbounded Supersolutions of Nonlinear Equations with Nonstandard Growth (2006) — 54 citations
• Variable Exponent Lebesgue Spaces on Metric Spaces: The Hardy-Littlewood Maximal Operator (2005) — 118 citations
• Lebesgue points in variable exponent spaces. (2004) — 48 citations
• Sobolev capacity on the space W1, p(⋅)(ℝn) (2003) — 55 citations