Natural boundary value problems for weighted form laplacians
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 7 (2008) no. 2, p. 343-367

The four natural boundary problems for the weighted form Laplacians L=adδ+bδd,a,b>0 acting on polynomial differential forms in the n-dimensional Euclidean ball are solved explicitly. Moreover, an algebraic algorithm for generating a solution from the boundary data is given in each case.

Classification:  35J67,  35J25,  34K10 
@article{ASNSP_2008_5_7_2_343_0,
     author = {Koz\l owski, Wojciech and Pierzchalski, Antoni},
     title = {Natural boundary value problems for weighted form laplacians},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 7},
     number = {2},
     year = {2008},
     pages = {343-367},
     zbl = {1178.35156},
     mrnumber = {2437031},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_2008_5_7_2_343_0}
}

Kozłowski, Wojciech; Pierzchalski, Antoni. Natural boundary value problems for weighted form laplacians. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 7 (2008) no. 2, pp. 343-367. http://www.numdam.org/item/ASNSP_2008_5_7_2_343_0/

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