Articles

THE STRESS-ENERGY TENSOR AND POHOZAEV’S IDENTITY FOR SYSTEMS

  • N. D. Alikakos ,
  • A. C. Faliagas
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  • Department of Mathematics, University of Athens, Panepistemiopolis, 15784 Athens, Greece

Received date: 2012-01-04

  Online published: 2012-01-20

Abstract

Utilizing stress-energy tensors which allow for a divergence-free formulation, we establish Pohozaev’s identity for certain classes of quasilinear systems with variational structure.

Cite this article

N. D. Alikakos , A. C. Faliagas . THE STRESS-ENERGY TENSOR AND POHOZAEV’S IDENTITY FOR SYSTEMS[J]. Acta mathematica scientia, Series B, 2012 , 32(1) : 433 -439 . DOI: 10.1016/S0252-9602(12)60027-7

References

[1] Alikakos N D. Some basic facts on the system ?u Wu(u) = 0. Proc Amer Math Soc, 2011, 139(1): 153–162

[2] Caffarelli L, Garofalo N, Segala F. A gradient bound for entire solutions of quasi-linear equations and its
consequences. Comm Pure Appl Math, 1994, 47(11): 1457–1473

[3] Evans L C. Partial Di?erential Equations. Second ed. Graduate Studies in Mathematics 19. Amer Math
Soc, 2010

[4] Gui C. Hamiltonian identities for elliptic partial di?erential equations. J Funct Anal, 2008, 254(4): 904–
933

[5] Jackson J D. Classical electrodynamics. Third ed. Wiley, 1998

[6] Landau L D, Lifschitz E M. Course of theoretical physics Vol 2, Classical field theory. Fourth ed. Butterworth-Heinemann, 1980

[7] Struwe M. Variational Methods. Applications to Nonlinear Partial Di?erential Equations and Hamiltonian
Systems. Fourth ed. Ergebnisse der Mathematik und ihrer Grenzgebiete 34. Springer, 2008

[8] Schoen R. Lecture notes on general relativity. Stanford University, 2009

[9] Sandier E, Serfaty S. Vortices in the magnetic Ginzburg-Landau model//Progress in Nonlinear Differential
Equations and their Applications 70. Birkh¨aser, 2007

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