A regularity result for polyharmonic variational inequalities with thin obstacles
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 11 (1984) no. 1, pp. 87-122. 
@article{ASNSP_1984_4_11_1_87_0,
     author = {Schild, Bernhard},
     title = {A regularity result for polyharmonic variational inequalities with thin obstacles},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {87--122},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 11},
     number = {1},
     year = {1984},
     mrnumber = {752581},
     zbl = {0554.49003},
     language = {en},
     url = {http://archive.numdam.org/item/ASNSP_1984_4_11_1_87_0/}
}
TY  - JOUR
AU  - Schild, Bernhard
TI  - A regularity result for polyharmonic variational inequalities with thin obstacles
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 1984
SP  - 87
EP  - 122
VL  - 11
IS  - 1
PB  - Scuola normale superiore
UR  - http://archive.numdam.org/item/ASNSP_1984_4_11_1_87_0/
LA  - en
ID  - ASNSP_1984_4_11_1_87_0
ER  - 
%0 Journal Article
%A Schild, Bernhard
%T A regularity result for polyharmonic variational inequalities with thin obstacles
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1984
%P 87-122
%V 11
%N 1
%I Scuola normale superiore
%U http://archive.numdam.org/item/ASNSP_1984_4_11_1_87_0/
%G en
%F ASNSP_1984_4_11_1_87_0
Schild, Bernhard. A regularity result for polyharmonic variational inequalities with thin obstacles. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 11 (1984) no. 1, pp. 87-122. http://archive.numdam.org/item/ASNSP_1984_4_11_1_87_0/

[1] L. Caffarelli - A. Friedman, The obstacle problem for the biharmonic operator, Ann. Scuola Norm. Sup. Pisa, 6 (1979), pp. 151-184. | Numdam | MR | Zbl

[2] J. Fréhse, Beiträge zum Regularitätsproblem bei Variationsungleichungen höherer Ordnung, Habilitationsschrift, Frankfurt a.M. (1970).

[3] J. Frehse, On the regularity of the solution of the biharmonic variational inequality, Manuscripta Math., 9 (1973), pp. 91-103. | MR | Zbl

[4] J. Frehse, On variational inequalities with lower dimensional obstacles, Preprint 114, 1976, SFB 72 Bonn University, Proceedings Soc. Math. Brasil. (1976).

[5] J. Frehse, On the smoothness of solutions of variational inequalities with obstacles, Proc. Semester Partial Diff. Eq., Banach Center, Warszawa (1978). | Zbl

[6] D. Kinderlehrer - L. Nirenberg - J. Spruck, Regularity in elliptic free boundary problems. II: Equations of higher order, Ann. Scuola Norm. Sup. Pisa, 6 (1979), pp. 637-683. | Numdam | MR | Zbl

[7] N.S. Landkof, Foundations of modern potential theory, Berlin - Heidelberg- New York: Springer (1972). | MR | Zbl

[8] H. Lewy, On a refinement of Evan's law in potential theory, Atti Accad. Naz. Lincei, VIII Ser., Rend. Cl. Sci. Fis. Math. Natur., 48 (1970), pp. 1-9. | MR | Zbl

[9] H. Lewy - G. Stampacchia, On the regularity of the solution of a variational inequality, Comm. Pure Appl. Math., 22 (1969), pp. 153-188. | MR | Zbl

[10] B.W. Schulze - G. Wildenhain, Methoden der Potentialtheorie fiir elliptische Differentialgleichungen beliebiger Ordnung, Basel-Stuttgart: Birkhäuser (1977). | MR | Zbl

[11] B. Schild, Über die lokale Beschränktheit der 2. Ableitungen der Lösungen einseitiger, innerer Hindernisprobleme für den polyharmonischen Operator, Diplomarbeit, Bonn (1981).

[12] B. Schild, Über die Regularität der Lösungen polyharmonischer Variationsungleichungen mit ein- und zweiseitigen dünnen Hindernissen, to appear. | MR | Zbl