@article{RSMUP_2014__131__67_0, author = {Simpson, Henry C. and Spector, Scott J.}, title = {A product property of Sobolev spaces with application to elliptic estimates}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, volume = {132}, year = {2014}, pages = {67-76}, mrnumber = {3217751}, zbl = {06329758}, language = {en}, url = {http://dml.mathdoc.fr/item/RSMUP_2014__131__67_0} }
Simpson, Henry C.; Spector, Scott J. A product property of Sobolev spaces with application to elliptic estimates. Rendiconti del Seminario Matematico della Università di Padova, Tome 132 (2014) pp. 67-76. http://gdmltest.u-ga.fr/item/RSMUP_2014__131__67_0/
[1] Sobolev Spaces, Academic Press, 1975. | MR 450957 | Zbl 0314.46030
,[2] Sobolev Spaces, edition, Academic Press, 2003. | MR 2424078 | Zbl 1098.46001
and ,[3] Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I, Comm. Pure Appl. Math. 12 (1959), 623–727. | MR 125307 | Zbl 0093.10401
, and ,[4] Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. II, Comm. Pure Appl. Math. 17 (1964), 35–92. | MR 162050 | Zbl 0123.28706
, and ,[5] Global continuation in nonlinear elasticity, Arch. Rational Mech. Anal. 143 (1998), 1–28. | MR 1643646 | Zbl 0953.74009
and ,[6] Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids, Comm. Pure Appl. Math. 34 (1981), 481–524. | MR 615627 | Zbl 0476.76068
and ,[7] A rapidly convergent iteration method and non-linear partial differential equations. I, Ann. Scuola Norm. Sup. Pisa (3) 20 (1966), 265–315. | Numdam | MR 199523 | Zbl 0144.18202
,[8] ya and T. O. Shaposhnikova, Theory of Multipliers in Spaces of Differentiable Functions, Pitman, 1985. | MR 881055 | Zbl 0467.42012
[9] On global bifurcation for quasilinear elliptic systems on bounded domains. J. Differential Equations, 246 (2009), 2788–2812. | MR 2503022 | Zbl 1165.35358
and ,[10] Les Méthodes Directes en Théorie des Équations Elliptiques, Masson et Cie, Éditeurs, Paris 1967. | MR 227584 | Zbl 1225.35003
,[11] Continuity of the derivatives of solutions related to elliptic systems, Proc. Royal Soc. Edinburgh 136A (2006), 1027–1039. | MR 2266399 | Zbl 1194.35480
,[12] Applications of estimates near the boundary to regularity of solutions in linearized elasticity, SIAM J. Math. Anal. 41 (2009), 923–935. | MR 2529952 | Zbl 1202.35084
and ,[13] Boundary Value Problems of Finite Elasticity, Springer, 1988. | MR 917733 | Zbl 0648.73019
,