Geodesic
Some properties of Palais-Smale sequences with applications to elliptic boundary-value problems
Electronic Journal of Differential Equations, Tome 1999 (1999).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: When using calculus of variations to study nonlinear elliptic boundary-value problems on unbounded domains, the Palais-Smale condition is not always satisfied. To overcome this difficulty, we analyze Palais-Smale sequences, and use their convergence to justify the existence of critical points for a functional. We show the existence of positive solutions using a minimax method and comparison arguments for semilinear elliptic equations.
Classification : 35J20, 35J25
Keywords: elliptic equation, palais-Smale sequence, minimax method 
@article{EJDE_1999__1999__a10,
     author = {Chen, Chao-Nien and Tzeng, Shyuh-yaur},
     title = {Some properties of {Palais-Smale} sequences with applications to elliptic boundary-value problems},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {1999},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a10/}
}
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Chen, Chao-Nien; Tzeng, Shyuh-yaur. Some properties of Palais-Smale sequences with applications to elliptic boundary-value problems. Electronic Journal of Differential Equations, Tome 1999 (1999). http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a10/