Mikil Foss

495 total citations
25 papers, 336 citations indexed

About

Mikil Foss is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Mikil Foss has authored 25 papers receiving a total of 336 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Computational Theory and Mathematics, 15 papers in Applied Mathematics and 10 papers in Mathematical Physics. Recurrent topics in Mikil Foss's work include Nonlinear Partial Differential Equations (14 papers), Advanced Mathematical Modeling in Engineering (14 papers) and Numerical methods in inverse problems (10 papers). Mikil Foss is often cited by papers focused on Nonlinear Partial Differential Equations (14 papers), Advanced Mathematical Modeling in Engineering (14 papers) and Numerical methods in inverse problems (10 papers). Mikil Foss collaborates with scholars based in United States, Italy and Germany. Mikil Foss's co-authors include Giuseppe Mingione, Antonia Passarelli di Napoli, Anna Verde, Warren N. White, Xin Guo, William J. Hrusa, Victor J. Mizel, Christopher S. Goodrich, Yue Yu and Verena Bögelein and has published in prestigious journals such as Archive for Rational Mechanics and Analysis, Journal of Differential Equations and SIAM Journal on Mathematical Analysis.

In The Last Decade

Mikil Foss

25 papers receiving 314 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Mikil Foss United States 10 233 225 111 66 42 25 336
Jana Stará Czechia 14 319 1.4× 312 1.4× 107 1.0× 48 0.7× 25 0.6× 35 397
A. Okay Çelebi Türkiye 9 182 0.8× 138 0.6× 127 1.1× 107 1.6× 43 1.0× 37 365
Filip Rindler United Kingdom 11 229 1.0× 210 0.9× 145 1.3× 39 0.6× 83 2.0× 30 389
Remigio Russo Italy 11 190 0.8× 183 0.8× 93 0.8× 82 1.2× 60 1.4× 36 310
Joachim Naumann Germany 8 171 0.7× 164 0.7× 65 0.6× 46 0.7× 36 0.9× 60 263
Lisa Santos Portugal 10 146 0.6× 174 0.8× 28 0.3× 30 0.5× 23 0.5× 28 236
Sebastian Schwarzacher Czechia 12 300 1.3× 258 1.1× 139 1.3× 63 1.0× 17 0.4× 32 370
Vesa Mustonen Finland 13 362 1.6× 355 1.6× 147 1.3× 68 1.0× 45 1.1× 26 467
Michael Bildhauer Germany 14 480 2.1× 490 2.2× 151 1.4× 31 0.5× 34 0.8× 56 612
Robert Haller‐Dintelmann Germany 9 169 0.7× 197 0.9× 107 1.0× 37 0.6× 28 0.7× 24 275

Countries citing papers authored by Mikil Foss

Since Specialization
Citations

This map shows the geographic impact of Mikil Foss's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Mikil Foss with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Mikil Foss more than expected).

Fields of papers citing papers by Mikil Foss

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Mikil Foss. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Mikil Foss. The network helps show where Mikil Foss may publish in the future.

Co-authorship network of co-authors of Mikil Foss

This figure shows the co-authorship network connecting the top 25 collaborators of Mikil Foss. A scholar is included among the top collaborators of Mikil Foss based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Mikil Foss. Mikil Foss is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Bellido, José C., et al.. (2024). Nonlocal Green Theorems and Helmholtz Decompositions for Truncated Fractional Gradients. Applied Mathematics & Optimization. 90(1). 3 indexed citations
2.
Foss, Mikil, et al.. (2022). Sensitivity Analysis for Solutions to Heterogeneous Nonlocal Systems. Theoretical and Numerical Studies. OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information). 4(3). 367–397. 1 indexed citations
3.
Foss, Mikil, Teresa Isernia, Chiara Leone, & Anna Verde. (2022). $$\mathcal {A}$$-caloric approximation and partial regularity for parabolic systems with Orlicz growth. Calculus of Variations and Partial Differential Equations. 62(2). 2 indexed citations
4.
5.
Foss, Mikil. (2021). Traces on General Sets in ${R}^n$ for Functions with no Differentiability Requirements. SIAM Journal on Mathematical Analysis. 53(4). 4212–4251. 3 indexed citations
6.
Foss, Mikil, et al.. (2018). Existence and regularity of minimizers for nonlocal energy functionals. Differential and Integral Equations. 31(11/12). 5 indexed citations
7.
Foss, Mikil & Christopher S. Goodrich. (2015). On partial Hölder continuity and a Caccioppoli inequality for minimizers of asymptotically convex functionals between Riemannian manifolds. Annali di Matematica Pura ed Applicata (1923 -). 195(5). 1405–1461. 9 indexed citations
8.
Foss, Mikil, et al.. (2011). Morrey regularity for almost minimizers of asymptotically convex functionals with nonstandard growth. Forum Mathematicum. 12 indexed citations
9.
Foss, Mikil, et al.. (2011). Partial regularity for subquadratic parabolic systems with continuous coefficients. manuscripta mathematica. 139(1-2). 1–47. 2 indexed citations
10.
Bögelein, Verena, Mikil Foss, & Giuseppe Mingione. (2011). Regularity in parabolic systems with continuous coefficients. Mathematische Zeitschrift. 270(3-4). 903–938. 8 indexed citations
11.
Foss, Mikil, et al.. (2009). Morrey regularity results for asymptotically convex variational problems with (p,q) growth. Journal of Differential Equations. 246(12). 4519–4551. 17 indexed citations
12.
White, Warren N., et al.. (2009). Direct Lyapunov approach for tracking control of underactuated mechanical systems. 1341–1346. 9 indexed citations
13.
Foss, Mikil, Antonia Passarelli di Napoli, & Anna Verde. (2009). Global Lipschitz regularity for almost minimizers of asymptotically convex variational problems. Annali di Matematica Pura ed Applicata (1923 -). 189(1). 27 indexed citations
14.
Foss, Mikil, Antonia Passarelli di Napoli, & Anna Verde. (2008). Global Morrey regularity results for asymptotically convex variational problems. Forum Mathematicum. 20(5). 27 indexed citations
15.
Foss, Mikil & Giuseppe Mingione. (2007). Partial continuity for elliptic problems. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 25(3). 471–503. 46 indexed citations
16.
Foss, Mikil. (2007). Global regularity for almost minimizers of nonconvex variational problems. Annali di Matematica Pura ed Applicata (1923 -). 187(2). 263–321. 55 indexed citations
17.
White, Warren N., Mikil Foss, & Xin Guo. (2006). A direct Lyapunov approach for a class of underactuated mechanical systems. 8 pp.–8 pp.. 22 indexed citations
18.
Foss, Mikil, William J. Hrusa, & Victor J. Mizel. (2003). The Lavrentiev Gap Phenomenon in Nonlinear Elasticity. Archive for Rational Mechanics and Analysis. 167(4). 337–365. 33 indexed citations
19.
Foss, Mikil. (2003). Examples of the Lavrentiev Phenomenon with Continuous Sobolev Exponent Dependence. 9 indexed citations
20.
Foss, Mikil, William J. Hrusa, & Victor J. Mizel. (2003). The Lavrentiev Phenomenon in Nonlinear Elasticity. Journal of Elasticity. 72(1-3). 173–181. 2 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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