Elliptic Problems with Nonlinear Boundary Conditions and the Sobolev Trace Theorem
作者： Julio D Rossi , None
DOI: 10.1016/S1874-5733(05)80013-0
关键词: Elliptic boundary value problem 、 Trace operator 、 Mathematics 、 Sobolev spaces for planar domains 、 Céa's lemma 、 Applied mathematics 、 Sobolev inequality 、 Elliptic operator 、 Semi-elliptic operator 、 Mathematical analysis 、 p-Laplacian
摘要: This work constitutes a short survey of the subject of elliptic partial differential equations with nonlinear boundary conditions. We will focus especially on the relevance of the Sobolev …
elsevier.com
sci-hub.se 
researchgate.net 参考文章(119)
Petru Mironescu, Haïm Brezis, Jean Bourgain, Another look at Sobolev spaces pp. 439- 455 ,(2001)
P. Quittner, M. Chipot, M. Fila, Stationary solutions, blow up and convergence to stationary solutions for semilinear parabolic equations with nonlinear boundary conditions Chipot, M; Fila, M; Quittner, P (1991). Stationary solutions, blow up and convergence to stationary solutions for semilinear parabolic equations with nonlinear boundary conditions. Acta Mathematica Universitatis Comenianae. New Series, 60(1):35-103.. ,vol. 60, pp. 35- 103 ,(1991) , 10.5167/UZH-22758
Veronica Felli, Mohameden Ould Ahmedou, On a geometric equation with critical nonlinearity on the boundary arXiv: Analysis of PDEs. ,(2001)
Frederic Howell Miller, Partial Differential Equations ,(1941)
Bei Hu, Nonexistence of a positive solution of the Laplace equation with a nonlinear boundary condition Differential and Integral Equations. ,vol. 7, pp. 301- 313 ,(1994)
T. Aubin, EQUATIONS DIFFERENTIELLES NON LINEAIRES ET PROBLEME DE YAMABE CONCERNANT LA COURBURE SCALAIRE. Journal de Mathématiques Pures et Appliquées. ,vol. 55, pp. 269- 296 ,(1976)
J. Chabrowski, Jianfu Yang, Existence theorems for elliptic equations involving supercritical sobolev exponent Advances in Differential Equations. ,vol. 2, pp. 231- 256 ,(1997)
Jose F. Escobar, Addendum: Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature Annals of Mathematics. ,vol. 139, pp. 749- 750 ,(1994) , 10.2307/2118578
Jacques Simon, Régularité de la solution d'un problème aux limites non linéaires Annales de la faculté des sciences de Toulouse Mathématiques. ,vol. 3, pp. 247- 274 ,(1981) , 10.5802/AFST.569
M Chipot, M Chlebı́k, M Fila, I Shafrir, Existence of Positive Solutions of a Semilinear Elliptic Equation in Rn + with a Nonlinear Boundary Condition Journal of Mathematical Analysis and Applications. ,vol. 223, pp. 429- 471 ,(1998) , 10.1006/JMAA.1998.5958