Adimurthi

3.1k total citations
76 papers, 2.0k citations indexed

About

Adimurthi is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Adimurthi has authored 76 papers receiving a total of 2.0k indexed citations (citations by other indexed papers that have themselves been cited), including 72 papers in Applied Mathematics, 44 papers in Computational Theory and Mathematics and 22 papers in Mathematical Physics. Recurrent topics in Adimurthi's work include Nonlinear Partial Differential Equations (50 papers), Advanced Mathematical Modeling in Engineering (42 papers) and Navier-Stokes equation solutions (16 papers). Adimurthi is often cited by papers focused on Nonlinear Partial Differential Equations (50 papers), Advanced Mathematical Modeling in Engineering (42 papers) and Navier-Stokes equation solutions (16 papers). Adimurthi collaborates with scholars based in India, France and Sweden. Adimurthi's co-authors include S. L. Yadava, G. D. Veerappa Gowda, K. Sandeep, Olivier Druet, Siddhartha Mishra, Mythily Ramaswamy, N. Chaudhuri, Michaël Struwe, Jérôme Jaffré and Filomena Pacella and has published in prestigious journals such as Mathematics of Computation, SIAM Journal on Numerical Analysis and Communications on Pure and Applied Mathematics.

In The Last Decade

Adimurthi

74 papers receiving 1.8k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Adimurthi India 24 1.9k 1.2k 819 310 130 76 2.0k
Philippe Benilán France 16 1.4k 0.7× 1.2k 1.0× 775 0.9× 151 0.5× 347 2.7× 40 1.7k
Hermano Frid Brazil 14 678 0.4× 242 0.2× 375 0.5× 332 1.1× 134 1.0× 66 857
Hi Jun Choe South Korea 17 1.2k 0.6× 341 0.3× 810 1.0× 427 1.4× 308 2.4× 84 1.4k
Alan McIntosh Australia 21 1.7k 0.9× 579 0.5× 1.2k 1.4× 35 0.1× 43 0.3× 78 2.0k
László Székelyhidi Germany 15 1.2k 0.6× 191 0.2× 534 0.7× 629 2.0× 214 1.6× 33 1.4k
Daniel Coutand United States 14 768 0.4× 239 0.2× 470 0.6× 429 1.4× 171 1.3× 26 1.0k
Francisco Gancedo Spain 18 790 0.4× 230 0.2× 501 0.6× 264 0.9× 77 0.6× 43 937
Henrik Shahgholian Sweden 16 744 0.4× 690 0.6× 393 0.5× 87 0.3× 32 0.2× 98 937
Frank Duzaar Germany 29 2.3k 1.2× 1.8k 1.5× 1.1k 1.3× 75 0.2× 114 0.9× 95 2.4k
Ugo Gianazza Italy 14 666 0.4× 561 0.5× 368 0.4× 56 0.2× 63 0.5× 55 816

Countries citing papers authored by Adimurthi

Since Specialization
Citations

This map shows the geographic impact of Adimurthi'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 Adimurthi with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Adimurthi more than expected).

Fields of papers citing papers by Adimurthi

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Adimurthi. 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 Adimurthi. The network helps show where Adimurthi may publish in the future.

Co-authorship network of co-authors of Adimurthi

This figure shows the co-authorship network connecting the top 25 collaborators of Adimurthi. A scholar is included among the top collaborators of Adimurthi 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 Adimurthi. Adimurthi 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.
Adimurthi, et al.. (2025). Boundary fractional Hardy’s inequality in dimension one: The critical case. Communications in Contemporary Mathematics. 28(4). 1 indexed citations
2.
Adimurthi, et al.. (2018). Positive solutions to a fractional equation with singular nonlinearity. Journal of Differential Equations. 265(4). 1191–1226. 26 indexed citations
3.
Adimurthi & Cyril Tintarev. (2016). Defect of compactness in spaces of bounded variation. Journal of Functional Analysis. 271(1). 37–48. 2 indexed citations
4.
Adimurthi, et al.. (2014). Lpstability for entropy solutions of scalar conservation laws with strict convex flux. Journal of Differential Equations. 256(10). 3395–3416. 3 indexed citations
5.
Adimurthi, G. D. Veerappa Gowda, & Jérôme Jaffré. (2013). The DFLU flux for systems of conservation laws. Journal of Computational and Applied Mathematics. 247. 102–123. 8 indexed citations
6.
Adimurthi, Stathis Filippas, & Achilles Tertikas. (2008). On the best constant of Hardy–Sobolev inequalities. Nonlinear Analysis. 70(8). 2826–2833. 31 indexed citations
7.
Adimurthi, Siddhartha Mishra, & G. D. Veerappa Gowda. (2007). Existence and stability of entropy solutions for a conservation law with discontinuous non-convex fluxes. Networks and Heterogeneous Media. 2(1). 127–157. 21 indexed citations
8.
Adimurthi, Siddhartha Mishra, & G. D. Veerappa Gowda. (2007). Explicit Hopf–Lax type formulas for Hamilton–Jacobi equations and conservation laws with discontinuous coefficients. Journal of Differential Equations. 241(1). 1–31. 14 indexed citations
9.
Adimurthi, et al.. (2006). Optimal Hardy–Rellich inequalities, maximum principle and related eigenvalue problem. Journal of Functional Analysis. 240(1). 36–83. 20 indexed citations
10.
Adimurthi, Siddhartha Mishra, & G. D. Veerappa Gowda. (2006). Conservation law with the flux function discontinuous in the space variable—II. Journal of Computational and Applied Mathematics. 203(2). 310–344. 12 indexed citations
11.
Adimurthi & Massimo Grossi. (2003). Asymptotic estimates for a two-dimensional problem with polynomial nonlinearity. Proceedings of the American Mathematical Society. 132(4). 1013–1019. 38 indexed citations
12.
Adimurthi & K. Sandeep. (2002). Existence and non-existence of the first eigenvalue of the perturbed Hardy–Sobolev operator. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 132(5). 1021–1043. 38 indexed citations
13.
Adimurthi & Michaël Struwe. (2000). Global Compactness Properties of Semilinear Elliptic Equations with Critical Exponential Growth. Journal of Functional Analysis. 175(1). 125–167. 90 indexed citations
14.
Adimurthi, Filomena Pacella, & S. L. Yadava. (1995). Characterization of concentration points and L∞-estimates for solutions of a semilinear neumann problem involving the critical sobolev exponent. Differential and Integral Equations. 8(1). 41–68. 45 indexed citations
15.
Adimurthi & S. L. Yadava. (1994). Some remarks on Sobolev type inequalities. Calculus of Variations and Partial Differential Equations. 2(4). 427–442. 16 indexed citations
16.
Adimurthi & S. L. Yadava. (1994). An elementary proof of the uniqueness of positive radial solutions of a quasilinear Dirichlet problem. Archive for Rational Mechanics and Analysis. 127(3). 219–229. 44 indexed citations
17.
Adimurthi, P. N. Srikanth, & S. L. Yadava. (1991). Phenomena of critical exponent in ℝ2. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 119(1-2). 19–25. 16 indexed citations
18.
Adimurthi & S. L. Yadava. (1990). Multiplicity results for semilinear elliptic equations in a bounded domain of $\mathbb {R}^2$ involving critical exponents. French digital mathematics library (Numdam). 17(4). 481–504. 33 indexed citations
19.
Adimurthi. (1990). Existence of positive solutions of the semilinear Dirichlet problem with critical growth for the n-Laplacian. French digital mathematics library (Numdam). 17(3). 393–413. 168 indexed citations
20.
Adimurthi & S. L. Yadava. (1990). Critical sobolev exponent problem in ℝn(n ≥ 4) with neumann boundary condition. Proceedings - Mathematical Sciences. 100(3). 275–284. 28 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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