@article{AFST_1988_5_9_1_65_0,
author = {Barles, G.},
title = {Remarks on uniqueness results of the first eigenvalue of the $p$-laplacian},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {65--75},
year = {1988},
publisher = {Universit\'e Paul Sabatier},
address = {Toulouse},
volume = {Ser. 5, 9},
number = {1},
mrnumber = {971814},
zbl = {0621.35068},
language = {en},
url = {https://www.numdam.org/item/AFST_1988_5_9_1_65_0/}
}
TY - JOUR AU - Barles, G. TI - Remarks on uniqueness results of the first eigenvalue of the $p$-laplacian JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1988 SP - 65 EP - 75 VL - 9 IS - 1 PB - Université Paul Sabatier PP - Toulouse UR - https://www.numdam.org/item/AFST_1988_5_9_1_65_0/ LA - en ID - AFST_1988_5_9_1_65_0 ER -
%0 Journal Article %A Barles, G. %T Remarks on uniqueness results of the first eigenvalue of the $p$-laplacian %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1988 %P 65-75 %V 9 %N 1 %I Université Paul Sabatier %C Toulouse %U https://www.numdam.org/item/AFST_1988_5_9_1_65_0/ %G en %F AFST_1988_5_9_1_65_0
Barles, G. Remarks on uniqueness results of the first eigenvalue of the $p$-laplacian. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 5, Tome 9 (1988) no. 1, pp. 65-75. https://www.numdam.org/item/AFST_1988_5_9_1_65_0/
[1] ).- C1+α local regularity of weak solutions of degenerate elliptic Equations. Non linear Anal. TMA, Vol 7, N°8, 1983. | Zbl | MR
[2] ) and ).- Harnack inequalities for quasi-minima of variational integrals . Anna. Inst. H. Poincaré. Anal. Non Lin., Vol 1, N°4, 1984. | Zbl | MR | Numdam
[3] ). - Sulla differenziabilita e l'analitica delle estremali degli integrali multipli regolari. Mem. Acad. Sci. Torino. Cl. Sci. Fis. Mat. Nat. (3) t.3, 1957. | Zbl | MR
[4] ).- Sur l'espace propre associé à la première valeur propre du pseudo Laplacien dans la boule unité. CRAS, Paris, série 198.
[5] ) and ) .- Existence and nonuniqueness for the p-Laplacian : non linear eigenvalues. Preprint.
[6] ) and ).- Quasi minima. Annal. Inst. H. Poincaré. Anal. Non Lin. Vol. 1, N°2, 1984. | Zbl | MR | Numdam
[7] ) and ). - Elliptic partial differential equations of second order. 2nd édition . Ed. Springer-Verlag (New-York), 1983. | Zbl | MR
[8] ). - Boundary regularity for variational inequalities. Indiana Univ. Math. J. 29 1980. | Zbl | MR
[9] ) and ). - Linear and quasi linear elliptic equations. Academic Press (New-York), 1968. | Zbl | MR
[10] ). - A uniqueness theorem for elliptic quasivariational inequalities. J. Funct. Anal. 12, 1979. | MR
[11] ).- Two remarks on Monge Ampère Equations. Annali di Matematica pura ed applicata (IV). vol. CXLII. | Zbl
[12] ). - Bifurcation and optimal stochastic control. Non linear Anal. TMA, 7, 1983. | MR
[13] ). - Proceed, Fac. Sci. Tokai Univ. 19, 1984. | MR
[14] ).- Regularity for a more general class of quasilinear elliptic equations. J. Dif. Equ. 51, 1984. | Zbl | MR
[15] ) .- On the Dirichlet problem for quasilinear elliptic equations with conical boundary points.
[16] ).- Regularity for a class of non linear elliptic systems. Acta. Math. 138, 1977. | Zbl | MR
[17] ) and ).- Uniqueness of nonnegative solutions for elliptic nonlinear diffusion equations with a general perturbation term. Proceedings the VIII CEDYA, Santander, 1985.
[18] ) and ).- Uniqueness of nonnegative solutions for second order quasilinear equations with a possible source term. (To appear).
