# zbMATH — the first resource for mathematics

## Karp, Lavi

Compute Distance To:
 Author ID: karp.lavi Published as: Karp, L.; Karp, Lavi External Links: MGP
 Documents Indexed: 36 Publications since 1991, including 9 Books
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#### Co-Authors

 9 single-authored 9 Agranovsky, Mark L. 8 Zalcman, Lawrence Allen 7 Brauer, Uwe 7 Reich, Simeon 7 Shoikhet, David 6 Ben-Artzi, Matania 6 Weinstein, Gilbert 5 Galloway, Greg 5 Shahgholian, Henrik 3 Khavinson, Dmitry S. 2 Margulis, Avmir S. 2 Shapiro, Harold Seymour 1 Bénéteau, Catherine 1 Bshouty, Daoud H. 1 Caffarelli, Luis Ángel 1 Goldvard, Alex 1 Hayman, Walter Kurt 1 Kilpeläinen, Tero 1 Lundberg, Erik 1 Maz’ya, Vladimir Gilelevich 1 Petrosyan, Arshak
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#### Serials

 9 Contemporary Mathematics 3 Journal of Differential Equations 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Analysis and Applications 1 Communications in Mathematical Physics 1 Arkiv för Matematik 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Indiana University Mathematics Journal 1 Manuscripta Mathematica 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Complex Variables. Theory and Application 1 European Journal of Applied Mathematics 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 Potential Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Annals of Mathematics. Second Series 1 Journal of Evolution Equations 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Computational Methods and Function Theory 1 Journal of Geometry and Symmetry in Physics
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#### Fields

 26 Partial differential equations (35-XX) 16 Potential theory (31-XX) 11 Functions of a complex variable (30-XX) 9 General and overarching topics; collections (00-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Relativity and gravitational theory (83-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Functional analysis (46-XX) 4 Fluid mechanics (76-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Real functions (26-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH

19 Publications have been cited 158 times in 116 Documents Cited by Year
Regularity of a free boundary with application to the Pompeiu problem. Zbl 0960.35112
Caffarelli, Luis A.; Karp, Lavi; Shahgholian, Henrik
2000
On the porosity of free boundaries in degenerate variational inequalities. Zbl 0956.35054
Karp, L.; Kilpeläinen, T.; Petrosyan, A.; Shahgholian, H.
2000
Newtonian potential theory for unbounded sources and applications to free boundary problems. Zbl 0876.35136
Karp, Lavi; Margulis, Avmir S.
1996
Local existence of solutions of self gravitating relativistic perfect fluids. Zbl 1288.35466
Brauer, Uwe; Karp, Lavi
2014
Generalized Newton potential and its applications. Zbl 0779.31004
Karp, Lavi
1993
Local existence of classical solutions for the Einstein-Euler system using weighted Sobolev spaces of fractional order. Zbl 1122.35144
Brauer, Uwe; Karp, Lavi
2007
Well-posedness of the Einstein-Euler system in asymptotically flat spacetimes: the constraint equations. Zbl 1264.35250
Brauer, Uwe; Karp, Lavi
2011
On the optimal growth of functions with bounded Laplacian. Zbl 0937.35029
Karp, Lavi; Shahgholian, Henrik
2000
Regularity of a free boundary problem. Zbl 0965.35194
Karp, Lavi; Shahgholian, Henrik
1999
Regularity of a free boundary at the infinity point. Zbl 0965.35192
Karp, Lavi; Shahgholian, Henrik
2000
Asymptotic properties of unbounded quadrature domains the plane. Zbl 1383.30002
Karp, Lavi
2015
Elliptic equations in weighted Besov spaces on asymptotically flat Riemannian manifolds. Zbl 1325.58010
Brauer, Uwe; Karp, Lavi
2015
Null quadrature domains and a free boundary problem for the Laplacian. Zbl 1272.35082
Karp, Lavi; Margulis, Avmir
2012
On the well-posedness of the vacuum Einstein’s equations. Zbl 1242.83009
Karp, Lavi
2011
Newtonian capacity and quasi-balayage. Zbl 0991.31004
Hayman, W. K.; Karp, L.; Shapiro, H. S.
2000
On the Newtonian potential of ellipsoids. Zbl 0830.31003
Karp, Lavi
1994
Local existence of solutions to the Euler-Poisson system, including densities without compact support. Zbl 1378.35302
Brauer, Uwe; Karp, Lavi
2018
On null quadrature domains. Zbl 1156.31004
Karp, Lavi
2008
Construction of quadrature domains in $$\mathbb R^n$$ from quadrature domains in $$\mathbb R^2$$. Zbl 0722.30039
Karp, Lavi
1991
Local existence of solutions to the Euler-Poisson system, including densities without compact support. Zbl 1378.35302
Brauer, Uwe; Karp, Lavi
2018
Asymptotic properties of unbounded quadrature domains the plane. Zbl 1383.30002
Karp, Lavi
2015
Elliptic equations in weighted Besov spaces on asymptotically flat Riemannian manifolds. Zbl 1325.58010
Brauer, Uwe; Karp, Lavi
2015
Local existence of solutions of self gravitating relativistic perfect fluids. Zbl 1288.35466
Brauer, Uwe; Karp, Lavi
2014
Null quadrature domains and a free boundary problem for the Laplacian. Zbl 1272.35082
Karp, Lavi; Margulis, Avmir
2012
Well-posedness of the Einstein-Euler system in asymptotically flat spacetimes: the constraint equations. Zbl 1264.35250
Brauer, Uwe; Karp, Lavi
2011
On the well-posedness of the vacuum Einstein’s equations. Zbl 1242.83009
Karp, Lavi
2011
On null quadrature domains. Zbl 1156.31004
Karp, Lavi
2008
Local existence of classical solutions for the Einstein-Euler system using weighted Sobolev spaces of fractional order. Zbl 1122.35144
Brauer, Uwe; Karp, Lavi
2007
Regularity of a free boundary with application to the Pompeiu problem. Zbl 0960.35112
Caffarelli, Luis A.; Karp, Lavi; Shahgholian, Henrik
2000
On the porosity of free boundaries in degenerate variational inequalities. Zbl 0956.35054
Karp, L.; Kilpeläinen, T.; Petrosyan, A.; Shahgholian, H.
2000
On the optimal growth of functions with bounded Laplacian. Zbl 0937.35029
Karp, Lavi; Shahgholian, Henrik
2000
Regularity of a free boundary at the infinity point. Zbl 0965.35192
Karp, Lavi; Shahgholian, Henrik
2000
Newtonian capacity and quasi-balayage. Zbl 0991.31004
Hayman, W. K.; Karp, L.; Shapiro, H. S.
2000
Regularity of a free boundary problem. Zbl 0965.35194
Karp, Lavi; Shahgholian, Henrik
1999
Newtonian potential theory for unbounded sources and applications to free boundary problems. Zbl 0876.35136
Karp, Lavi; Margulis, Avmir S.
1996
On the Newtonian potential of ellipsoids. Zbl 0830.31003
Karp, Lavi
1994
Generalized Newton potential and its applications. Zbl 0779.31004
Karp, Lavi
1993
Construction of quadrature domains in $$\mathbb R^n$$ from quadrature domains in $$\mathbb R^2$$. Zbl 0722.30039
Karp, Lavi
1991
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#### Cited by 114 Authors

 26 Shahgholian, Henrik 14 Karp, Lavi 11 Andersson, John Erik 7 Karakhanyan, Aram L. 5 Brauer, Uwe 5 Figalli, Alessio 5 Lindgren, Erik 5 Weiss, Georg Sebastian 5 Zhao, Peihao 5 Zheng, Jun 4 da Silva, João Vítor 4 Lee, Ki-Ahm 4 Oliynyk, Todd Andrew 3 Challal, Samia 3 Conti, Monica C. 3 Dovgoshey, Oleksiy Alfredovich 3 Edquist, Anders 3 Lyaghfouri, Abdeslem 3 Mikayelyan, Hayk 3 Teixeira, Eduardo V. O. 3 Terracini, Susanna 3 Verzini, Gianmaria 2 Altınok, Maya 2 Blanchet, Adrien 2 Blank, Ivan A. 2 Caffarelli, Luis Ángel 2 Feng, Binhua 2 Küçükaslan, Mehmet 2 Liu, Chao 2 Liu, Genqian 2 Lundberg, Erik 2 Matevosyan, Norayr 2 Monneau, Régis 2 Nyström, Kaj 2 Park, Jinwan 2 Pascucci, Andrea 2 Petrosyan, Arshak 2 Polidoro, Sergio 2 Rodrigues, José Francisco 2 Ros-Oton, Xavier 2 Rossi, Julio Daniel 2 Salort, Ariel Martin 2 Savina, Tatiana V. 2 Ural’tseva, Nina Nikolaevna 1 Akinyemi, Lanre 1 Andersson, Jan-Erik 1 Andersson, Lars Åke 1 Arakelyan, Avetik 1 Araújo, Damião J. 1 Bazarganzadeh, Mahmoudreza 1 Bilet, Viktoriia V. 1 Blanc, Pablo 1 Braga, J. Ederson M. 1 Burtscher, Annegret Y. 1 de Queiroz, Olivâine Santana 1 Di Fratta, Giovanni 1 Dinew, Sławomir 1 Dinew, Żywomir 1 Dipierro, Serena 1 Disconzi, Marcelo Mendes 1 Dolbeault, Jean 1 Emamizadeh, Behrouz 1 Eremenko, Alexandre Émmanuilovich 1 Fajman, David 1 Focardi, Matteo 1 Frentz, Marie 1 Gelli, Maria Stella 1 Ghergu, Marius 1 Gustafsson, Bjorn 1 Hedenmalm, Håkan 1 Indrei, Emanuel 1 Kenig, Carlos Eduardo 1 Krummel, Brian 1 Lee, Seung-Yeop 1 Leitão, Raimundo A. 1 Levine, Lionel 1 Liu, Yichen 1 Ma, Li 1 Makarov, Nikolai Georgievich 1 Makino, Tetu 1 Manolaki, Myrto 1 Margulis, Avmir S. 1 Muratov, Cyrill B. 1 Nepomnyashchy, Alex A. 1 Netuka, Ivan 1 Ochoa, Pablo D. 1 Pelayo, Alvaro 1 Peralta-Salas, Daniel 1 Peres, Yuval 1 Peyerimhoff, Norbert 1 Pfister, Herbert 1 Pingali, Vamsi P. 1 Prajapat, Jyotshana V. 1 Prestin, Jurgen 1 Putinar, Mihai 1 Render, Hermann 1 Rybakov, Filipp N. 1 Salazar, Jorge A. 1 Samiou, Evangelia 1 Schaudt, Urs M. ...and 14 more Authors
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#### Cited in 58 Serials

 12 Journal of Differential Equations 9 Calculus of Variations and Partial Differential Equations 5 Communications in Mathematical Physics 5 Communications in Partial Differential Equations 4 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal d’Analyse Mathématique 3 Journal of Mathematical Analysis and Applications 3 Arkiv för Matematik 3 Advances in Mathematics 3 Mathematische Annalen 3 Transactions of the American Mathematical Society 3 Interfaces and Free Boundaries 3 Annales Henri Poincaré 2 Archive for Rational Mechanics and Analysis 2 Communications on Pure and Applied Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of the American Mathematical Society 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Potential Analysis 2 Analysis and Mathematical Physics 1 Modern Physics Letters A 1 General Relativity and Gravitation 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Revista Matemática Iberoamericana 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 The Journal of Geometric Analysis 1 SIAM Journal on Mathematical Analysis 1 Turkish Journal of Mathematics 1 The Journal of Fourier Analysis and Applications 1 Analysis (München) 1 Journal of Evolution Equations 1 Portugaliae Mathematica. Nova Série 1 Communications on Pure and Applied Analysis 1 Computational Methods and Function Theory 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Hyperbolic Differential Equations 1 Boundary Value Problems 1 Advances in Calculus of Variations 1 Analysis & PDE 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Kyoto Journal of Mathematics 1 Afrika Matematika 1 Philosophical Transactions A. Royal Society of London
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#### Cited in 23 Fields

 97 Partial differential equations (35-XX) 18 Potential theory (31-XX) 14 Relativity and gravitational theory (83-XX) 13 Fluid mechanics (76-XX) 7 Functions of a complex variable (30-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 5 Differential geometry (53-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Mechanics of deformable solids (74-XX) 4 Measure and integration (28-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Astronomy and astrophysics (85-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)