Critical exponent and minimization problem in ℝ N

Samira Benmouloud-Sbai; Mohamed Guedda

Annales de la Faculté des sciences de Toulouse : Mathématiques (2003)

  • Volume: 12, Issue: 3, page 303-315
  • ISSN: 0240-2963

How to cite

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Benmouloud-Sbai, Samira, and Guedda, Mohamed. "Critical exponent and minimization problem in $\mathbb {R}^N$." Annales de la Faculté des sciences de Toulouse : Mathématiques 12.3 (2003): 303-315. <http://eudml.org/doc/73605>.

@article{Benmouloud2003,
author = {Benmouloud-Sbai, Samira, Guedda, Mohamed},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
language = {eng},
number = {3},
pages = {303-315},
publisher = {Université Paul Sabatier, Institut de Mathématiques},
title = {Critical exponent and minimization problem in $\mathbb \{R\}^N$},
url = {http://eudml.org/doc/73605},
volume = {12},
year = {2003},
}

TY - JOUR
AU - Benmouloud-Sbai, Samira
AU - Guedda, Mohamed
TI - Critical exponent and minimization problem in $\mathbb {R}^N$
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2003
PB - Université Paul Sabatier, Institut de Mathématiques
VL - 12
IS - 3
SP - 303
EP - 315
LA - eng
UR - http://eudml.org/doc/73605
ER -

References

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  1. [1] Brezis ( H. ), On some variational problem with limiting Sobolev exponent, Progress in variational methods, Pitman Res. Notes Math. Ser243, Longman, p. 42-51 (1992). Zbl0790.58013MR1176343
  2. [2] Brezis ( H. ) and Kato ( T.), Remarks on the Schrodinger operator with singular complex potentials, J. Math. Pure Appl.58, p. 137-151 (1979). Zbl0408.35025MR539217
  3. [3] Brezis ( H. ) & Lieb ( E.), A relation between pointwise convergence of functions and convergence of functionals, Proc. Amer. Math. Soc.88, p. 486-490 (1983). Zbl0526.46037
  4. [4] Brezis ( H. ) & Nirenberg ( L.), Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure Ap. Math.36, p. 437-477 (1983). Zbl0541.35029
  5. [5] Escobedo ( M. ) and Kavian ( O.), Variational problems related to self-similar solutions of the heat equation, Nonlinear Analysis TMA11, No 10, p. 1103-1133 (1987 ). Zbl0639.35038MR913672
  6. [6] Folland ( G.B. ), Real analysis, Willey-intrescience , (1984). Zbl0549.28001MR767633
  7. [7] Guedda ( M. ), A note on nonhomogeneous biharmonic equations involving critical Sobolev exponent, Port. Math.56, Fas. 3, p. 299-308 (1999). Zbl0933.35073MR1716054
  8. [8] Guedda ( M. ) and Veron ( L.), Quasilinear elliptic equations involving critical Sobolev exponents, Non-linear Analysis, The, Meth. and Appl., 13, No 8, p. 879-902 (1989). Zbl0714.35032MR1009077
  9. [9] Guedda ( M. ), Hadiji ( R.) and Picard ( C.), A biharmonic problems with constaint involving critical Sobolev exponent, Proc. R. Soc. Edinb., p. 1113-1132 (2001). Zbl1002.49002MR1862445

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