JournalsaihpcVol. 7, No. 2pp. 113–122

Remarks on critical exponents for Hessian operators

  • Kaising Tso

    Department of Mathematics, The Chinese University of Honk Kong, Shatin, Hong Kong
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Abstract

The critical exponent for the k-th Hessian operator (k=2,…,n) is determined and the solvability of the associated Dirichlet problem with sub-critical nonhomogeneous term is discussed.

Résumé

On détermine l’exposant critique pour les opérateurs de Hess, et l’on étudie le problème de Dirichlet associé, avec un terme non homogène sous-critique.

Cite this article

Kaising Tso, Remarks on critical exponents for Hessian operators. Ann. Inst. H. Poincaré Anal. Non Linéaire 7 (1990), no. 2, pp. 113–122

DOI 10.1016/S0294-1449(16)30302-X