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Conditions for the existence of a fundamental solution of quasilinear elliptic equations and higher-order systems with discontinuous coefficients

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References

  1. H. O. Cordes, “Über die erste Randwertaufgabe bei quasilinearen Differentialgleichungen zweiter Ordnung in mehr als zwei Variablen,” Math. Ann.,131, No. 3, 278–312 (1956).

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  2. A. I. Koshelev, Regularity of Solutions of Elliptic Equations and Systems [in Russian], Nauka, Moscow (1986).

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  3. E. A. Kalita, “Regularity of solutions of elliptic systems of Cordes type of arbitrary order,” Dokl. Akad. Nauk Ukrain. SSR, Ser. A, No. 5, 12–15 (1989).

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  4. E. A. Kalita, “The Liouville theorem for higher-order elliptic systems of Cordes type,” Ukr. Mat. Zh.,43, No. 2, 199–205 (1991).

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Academy of Sciences of Ukraine, USSR

    E. A. Kalita

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  1. E. A. Kalita
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Translated from Matematicheskie Zametki, Vol. 54, No. 6, pp. 132–134, December, 1993.

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Kalita, E.A. Conditions for the existence of a fundamental solution of quasilinear elliptic equations and higher-order systems with discontinuous coefficients. Math Notes 54, 1274–1276 (1993). https://doi.org/10.1007/BF01209090

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  • DOI: https://doi.org/10.1007/BF01209090

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