Remarks on critical exponents for hessian operators

Kaising Tso

Annales de l'I.H.P. Analyse non linéaire (1990)

  • Volume: 7, Issue: 2, page 113-122
  • ISSN: 0294-1449

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Tso, Kaising. "Remarks on critical exponents for hessian operators." Annales de l'I.H.P. Analyse non linéaire 7.2 (1990): 113-122. <http://eudml.org/doc/78214>.

@article{Tso1990,
author = {Tso, Kaising},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Hessian operator; Monge-Ampère operator; Dirichlet problem; negative solution; radially symmetric; critical exponent; mountain pass lemma; Nonexistence},
language = {eng},
number = {2},
pages = {113-122},
publisher = {Gauthier-Villars},
title = {Remarks on critical exponents for hessian operators},
url = {http://eudml.org/doc/78214},
volume = {7},
year = {1990},
}

TY - JOUR
AU - Tso, Kaising
TI - Remarks on critical exponents for hessian operators
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1990
PB - Gauthier-Villars
VL - 7
IS - 2
SP - 113
EP - 122
LA - eng
KW - Hessian operator; Monge-Ampère operator; Dirichlet problem; negative solution; radially symmetric; critical exponent; mountain pass lemma; Nonexistence
UR - http://eudml.org/doc/78214
ER -

References

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  1. [1] L. Caffarelli, L. Nirenberg and J. Spruck, The Dirichlet Problem for Nonlinear Second Order Elliptic Equations, III: Functions of the Eigenvalues of the Hessian, Acta Math., Vol. 155, 1985, pp. 261-301. Zbl0654.35031MR806416
  2. [2] C.-S. Lin, Interpolation Inequalities with Weights, Comm. P.D.E., Vol. 11, 1986, pp. 1515-1539. Zbl0635.46032MR864416
  3. [3] P. Pucci and J. Serrin, A General Variational Identity, Indiana Univ. Math. J., Vol. 35, 1986, pp. 681-703. Zbl0625.35027MR855181
  4. [4] P. Rabinowitz, Minimax Methods in Critical Point Theory with Applications to Differential Equations, No. 65, Expository Lectures from the C.B.M.S. Regional Conference, A.M.S.1986. Zbl0609.58002MR845785
  5. [5] R.C. Reilly, On the Hessian of a Function and the Curvatures of its Graph, Michigan Math. J., Vol. 20, 1973-1974, pp. 373-383. Zbl0267.53003MR334045
  6. [6] K. Tso, Real Monge-Ampère Functionals, Preprint, 1987. 

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