@article{ASNSP_1999_4_28_3_381_0, author = {Barles, Guy and Blanc, Alain-Philippe and Georgelin, Christine and Kobylanski, Magdalena}, title = {Remarks on the maximum principle for nonlinear elliptic {PDEs} with quadratic growth conditions}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {381--404}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 28}, number = {3}, year = {1999}, mrnumber = {1736522}, zbl = {0940.35078}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1999_4_28_3_381_0/} }
TY - JOUR AU - Barles, Guy AU - Blanc, Alain-Philippe AU - Georgelin, Christine AU - Kobylanski, Magdalena TI - Remarks on the maximum principle for nonlinear elliptic PDEs with quadratic growth conditions JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1999 SP - 381 EP - 404 VL - 28 IS - 3 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1999_4_28_3_381_0/ LA - en ID - ASNSP_1999_4_28_3_381_0 ER -
%0 Journal Article %A Barles, Guy %A Blanc, Alain-Philippe %A Georgelin, Christine %A Kobylanski, Magdalena %T Remarks on the maximum principle for nonlinear elliptic PDEs with quadratic growth conditions %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1999 %P 381-404 %V 28 %N 3 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1999_4_28_3_381_0/ %G en %F ASNSP_1999_4_28_3_381_0
Barles, Guy; Blanc, Alain-Philippe; Georgelin, Christine; Kobylanski, Magdalena. Remarks on the maximum principle for nonlinear elliptic PDEs with quadratic growth conditions. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 28 (1999) no. 3, pp. 381-404. http://archive.numdam.org/item/ASNSP_1999_4_28_3_381_0/
[1] The Maximum Principle for quasilinear elliptic equations with quadratic growth conditions, Arch. Rational Mech. Anal. 133 (1995), 77-101. | MR | Zbl
- ,[2] On a nonlinear partial differential equation having natural growth terms and unbounded solution, Ann. Inst. H. Poincaré, Anal. Non Linéaire 5 (1988), 347-364. | EuDML | Numdam | MR | Zbl
- - ,[3] Existence de solutions non bornées pour certaines équations quasi-linéaires, Portugal. Math. 41 (1982), 507-534. | EuDML | MR | Zbl
- - ,[4] Existence de solutions faibles pour des équations elleptiques quasi-linéaires à croissance quadratique, In: "Nonlinear Partial Differential and their Applications", Collège de France Seminar, volume IV, H. Brezis and J.-L. Lions editors, Research Notes in Mathematics 84, Pitman, London, 1983, pp. 19-73. | MR | Zbl
- - ,[5] Nonlinear problems having natural growth in the gradient: an existence result when the source term is small, Nonlinear Anal., to appear. | MR | Zbl
- ,[6] Quasilinear problems having natural growth in the gradient: an existence result when the source term is small, In: "Equations aux dérivées partielles et applications, article dédié à Jacques-Louis Lions", Gauthier-Villars, Paris, 1998, pp. 497-515. | MR | Zbl
- ,[7] On a class of quasilinear elliptic equations with quadratic growth in the gradient, Nonlinear Anal. 20 (1993). | MR | Zbl
- ,[8] Elliptic Partial Differential Equations of Second Order", Springer-Verlag, Berlin, 1977. | MR | Zbl
- , "[9] Invariant criteria for existence of solutions of second order quasi-linear elliptic equations, Comm. Pure Appl. Math. 31 (1978), 619-645. | MR | Zbl
- ,[10] Équations aux derivées partielles de type elliptique, Dunod, Paris, 1968. | MR | Zbl
- , "[11] A remark on regularization in Hilbert spaces, Isr. J. Math. 55 (1986), 257-266. | MR | Zbl
- ,