On a class of nonlinear elliptic equations

M. Chipot

Banach Center Publications (1992)

  • Volume: 27, Issue: 1, page 75-80
  • ISSN: 0137-6934

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Chipot, M.. "On a class of nonlinear elliptic equations." Banach Center Publications 27.1 (1992): 75-80. <http://eudml.org/doc/262646>.

@article{Chipot1992,
author = {Chipot, M.},
journal = {Banach Center Publications},
keywords = {multiplicity of solutions},
language = {eng},
number = {1},
pages = {75-80},
title = {On a class of nonlinear elliptic equations},
url = {http://eudml.org/doc/262646},
volume = {27},
year = {1992},
}

TY - JOUR
AU - Chipot, M.
TI - On a class of nonlinear elliptic equations
JO - Banach Center Publications
PY - 1992
VL - 27
IS - 1
SP - 75
EP - 80
LA - eng
KW - multiplicity of solutions
UR - http://eudml.org/doc/262646
ER -

References

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  1. [AW] L. Alfonsi and F. B. Weissler, Blow up in n for a parabolic equation with a damping nonlinear gradient term, preprint. Zbl0795.35051
  2. [CV] M. Chipot and F. Voirol, in preparation. 
  3. [CW₁] M. Chipot and F. B. Weissler, Some blow up results for a nonlinear parabolic equation with a gradient term, SIAM J. Math. Anal. 20 (4) (1989), 886-907. Zbl0682.35010
  4. [CW₂] M. Chipot and F. B. Weissler, Nonlinear Diffusion Equations and Their Equilibrium States, Math. Sci. Res. Inst. Publ. 12, Vol. 1, Springer, 1988. 
  5. [F] M. Fila, Remarks on blow up for a nonlinear parabolic equation with a gradient term, Proc. Amer. Math. Soc. 111 (1991), 795-801. Zbl0768.35047
  6. [KP] B. Kawohl and L. A. Peletier, Observations on blow up and dead cores for nonlinear parabolic equations, Math. Z. 202 (1989), 207-217. Zbl0661.35053
  7. [GNN] B. Gidas, W.-M. Ni and L. Nirenberg, Symmetry and related properties via the maximum principle, Comm. Math. Phys. 68 (1979), 209-243. Zbl0425.35020
  8. [GT] D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer, 1985. 
  9. [P₁] S. I. Pokhozhaev, Solvability of an elliptic problem in N with supercritical nonlinearity exponent, Dokl. Akad. Nauk SSSR 313 (6) (1990), 1356-1360 (in Russian). 
  10. [P₂] S. I. Pokhozhaev, Positivity classes of elliptic operators in N with supercritical nonlinearity exponent, ibid. 314 (1990), 558-561 (in Russian). 
  11. [Q] P. Quittner, Blow up for semilinear parabolic equations with a gradient term, preprint. Zbl0768.35049
  12. [V] F. Voirol, Thesis, University of Metz, in preparation. 
  13. [W] F. B. Weissler, private communication. 

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