Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies
if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the
same subfield and year (this is the minimum needed to enter the top 1%, not the average
within it), or reaches the top citation threshold in at least one of its specific research
topics.
Global and local behavior of positive solutions of nonlinear elliptic equations
1981832 citationsBasilis Gidas, Joel SpruckCommunications on Pure and Applied Mathematicsprofile →
Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
1989803 citationsLuis Caffarelli, Basilis Gidas et al.Communications on Pure and Applied Mathematicsprofile →
Motion of level sets by mean curvature. I
1991728 citationsL. C. Evans, Joel SpruckJournal of Differential Geometryprofile →
A priori bounds for positive solutions of nonlinear elliptic equations
1981568 citationsBasilis Gidas, Joel Spruckprofile →
The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian
1985542 citationsLuis Caffarelli, Louis Nirenberg et al.profile →
The dirichlet problem for nonlinear second‐order elliptic equations I. Monge‐ampégre equation
1984479 citationsLuis Caffarelli, Louis Nirenberg et al.Communications on Pure and Applied Mathematicsprofile →
Peers — A (Enhanced Table)
Peers by citation overlap · career bar shows stage (early→late)
cites ·
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This map shows the geographic impact of Joel Spruck'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 Joel Spruck with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Joel Spruck more than expected).
This network shows the impact of papers produced by Joel Spruck. 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 Joel Spruck. The network helps show where Joel Spruck may publish in the future.
Co-authorship network of co-authors of Joel Spruck
This figure shows the co-authorship network connecting the top 25 collaborators of Joel Spruck.
A scholar is included among the top collaborators of Joel Spruck 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 Joel Spruck. Joel Spruck is excluded from
the visualization to improve readability, since they are connected to all nodes in the network.
Evans, L. C. & Joel Spruck. (1992). Motion of level sets by mean curvature. II. Transactions of the American Mathematical Society. 330(1). 321–332.128 indexed citations
Guan, Bo & Joel Spruck. (1991). Interior gradient estimates for solutions of prescribed curvature equations of parabolic type. Indiana University Mathematics Journal. 40(4). 1471–1481.9 indexed citations
Caffarelli, Luis, Basilis Gidas, & Joel Spruck. (1989). Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth. Communications on Pure and Applied Mathematics. 42(3). 271–297.803 indexed citations breakdown →
15.
Aguilera, Néstor E., Luis Caffarelli, & Joel Spruck. (1987). An optimization problem in heat conduction. French digital mathematics library (Numdam). 14(3). 355–387.24 indexed citations
16.
Kinderlehrer, David, Louis Nirenberg, & Joel Spruck. (1979). Regularity in elliptic free boundary problems. II. Equations of higher order. French digital mathematics library (Numdam). 6(4). 637–683.10 indexed citations
17.
Kinderlehrer, David & Joel Spruck. (1978). The shape and smoothness of stable plasma configurations. French digital mathematics library (Numdam). 5(1). 131–148.22 indexed citations
Gulliver, Robert & Joel Spruck. (1972). . Indiana University Mathematics Journal. 22(5). 445–445.2 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.