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Symmetry and related properties via the maximum principle. (English) Zbl 0425.35020

MSC:
35B50Maximum principles (PDE)
35J15Second order elliptic equations, general
References:
[1]Corrigan, F., Fairlie, D.: Scalar field theory and exact solutions in a classicalSU(2) gauge theory. Phys. Lett.67B, 69 (1977)
[2]Courant, R., Hilbert, D.: Methods of mathematical physics. Interscience-Wiley, Vol. II (1962)
[3]Hopf, H.: Lectures on differential geometry in the large. Stanford University, 1956
[4]Jackiw, R., Rebbi, C.: Conformal properties of pseudoparticle configurations. Phys. Rev. D16, 1052 (1976)
[5]Loewner, C., Nirenberg, L.: Partial differential equations invariant under conformal and projective transformations. In: Contributions to Analysis, pp. 245-272. Academic Press 1974
[6]Obata, M.: The conjectures on conformal transformations of Riemannian manifolds. J. Diff. Geom.6, 247-258 (1971)
[7]Protter, M., Weinberger, H.: Maximum principles in differential equations. Prentice-Hall 1967
[8]Serrin, J.: A symmetry problem in potential theory. Arch. Ration. Mech.43, 304-318 (1971)
[9]Wilczek, F.: Geometry and interactions of instantons. In: Quark confinement and field theory. Stump, D., Weingarten, D. (eds.). New York: Wiley 1977