Geodesic
On the Existence and Uniqueness of Dirichlet Problems on a Positive Half-Line
Minimax theory and its applications, Tome 4 (2019) no. 1
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We consider Dirichlet problems on a positive half-line. The methods which we apply and compare are the usage of a global invertibility theorem and of a direct variational approach. For both approaches the solution is the limit of a strongly convergent minimizing sequence to a suitably chosen action functional. Moreover, we show that the Euler action functional satisfies the PS condition at the infimal level.
Mots-clés : Global diffeomorphism, Palais-Smale, calculus of variations, boundary value prob lem, half-line 
@article{MTA_2019_4_1_a3,
     author = {Micha{\l} Be{\l}dzi\'nski,Marek Galewski},
     title = {On the {Existence} and {Uniqueness} of {Dirichlet} {Problems} on a {Positive} {Half-Line}},
     journal = {Minimax theory and its applications},
     year = {2019},
     volume = {4},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/MTA_2019_4_1_a3/}
}
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Michał Bełdziński,Marek Galewski. On the Existence and Uniqueness of Dirichlet Problems on a Positive Half-Line. Minimax theory and its applications, Tome 4 (2019) no. 1. http://geodesic.mathdoc.fr/item/MTA_2019_4_1_a3/