On parabolic initial-boundary value problems with critical growth for the gradient
Annales de l'I.H.P. Analyse non linéaire (1994)
- Volume: 11, Issue: 2, page 135-158
- ISSN: 0294-1449
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topLandes, Rüdiger, and Mustonen, Vesa. "On parabolic initial-boundary value problems with critical growth for the gradient." Annales de l'I.H.P. Analyse non linéaire 11.2 (1994): 135-158. <http://eudml.org/doc/78326>.
@article{Landes1994,
author = {Landes, Rüdiger, Mustonen, Vesa},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {lack of compactness; Leray-Lions type operator; critical growth},
language = {eng},
number = {2},
pages = {135-158},
publisher = {Gauthier-Villars},
title = {On parabolic initial-boundary value problems with critical growth for the gradient},
url = {http://eudml.org/doc/78326},
volume = {11},
year = {1994},
}
TY - JOUR
AU - Landes, Rüdiger
AU - Mustonen, Vesa
TI - On parabolic initial-boundary value problems with critical growth for the gradient
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1994
PB - Gauthier-Villars
VL - 11
IS - 2
SP - 135
EP - 158
LA - eng
KW - lack of compactness; Leray-Lions type operator; critical growth
UR - http://eudml.org/doc/78326
ER -
References
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- [BM] L. Boccardo and F. Murat, Almost Everywhere Convergence of the Gradients of Solutions to Elliptic and Parabolic Equations Divergence Form, Nonlinear Analysis, T.M.A., Vol. 19, 1992, pp. 581-592. Zbl0783.35020MR1183665
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- [La3] R. Landes, Solvability of Perturbed Elliptic Equations with Critical Growth Exponent for the Gradient, J. Math.Analysis Appl., Vol. 139, 1989, pp. 63-77. Zbl0691.35038MR991927
- [La4] R. Landes, On the Existence of weak Solutions of Perturbed Systems with Critical Growth, J. Reine Angew. Math., Vol. 393, 1989, pp. 21-38. Zbl0664.35027MR972359
- [LM] R. Landes and V. Mustonen, A Strong Nonlinear Parabolic Initial Boundary Value Problem, Arkiv for Matematik, Vol. 25, 1987, pp. 29-40. Zbl0697.35071MR918378
- [Li] J.L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires, Gauthier-Villars, Paris, 1969. Zbl0189.40603MR259693
- [Z] E. Zeidler, Nonlinear Functional Analysis and its Applications, IIA and IIB, Springer-Verlag, New York-Berlin-Heidelberg, 1990.
Citations in EuDML Documents
top- Rüdiger Landes, On the angle condition for the perturbation of elliptic systems
- Dominique Blanchard, Alessio Porretta, Nonlinear parabolic equations with natural growth terms and measure initial data
- A. Dall'aglio, D. Giachetti, J.-P. Puel, Nonlinear parabolic equations with natural growth in general domains
- A. Dall'Aglio, D. Giachetti, C. Leone, S. Segura de León, Quasi-linear parabolic equations with degenerate coercivity having a quadratic gradient term
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