On a class of nonlinear ellipticequations in Hilbert spaces
Annales Polonici Mathematici (1994)
- Volume: 59, Issue: 3, page 203-213
- ISSN: 0066-2216
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topPiotr Fijałkowski. "On a class of nonlinear ellipticequations in Hilbert spaces." Annales Polonici Mathematici 59.3 (1994): 203-213. <http://eudml.org/doc/262274>.
@article{PiotrFijałkowski1994,
abstract = {We consider elliptic nonlinear equations in a separable Hilbert space and their solutions in spaces of Sobolev type.},
author = {Piotr Fijałkowski},
journal = {Annales Polonici Mathematici},
keywords = {nonlinear elliptic boundary value problems; finite dimensional approximation},
language = {eng},
number = {3},
pages = {203-213},
title = {On a class of nonlinear ellipticequations in Hilbert spaces},
url = {http://eudml.org/doc/262274},
volume = {59},
year = {1994},
}
TY - JOUR
AU - Piotr Fijałkowski
TI - On a class of nonlinear ellipticequations in Hilbert spaces
JO - Annales Polonici Mathematici
PY - 1994
VL - 59
IS - 3
SP - 203
EP - 213
AB - We consider elliptic nonlinear equations in a separable Hilbert space and their solutions in spaces of Sobolev type.
LA - eng
KW - nonlinear elliptic boundary value problems; finite dimensional approximation
UR - http://eudml.org/doc/262274
ER -
References
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- [3] P. Fijałkowski, On the equation x''(t) = F(t,x(t)) in the Sobolev space H¹(ℝ), Ann. Polon. Math. 53 (1991), 29-34. Zbl0739.34004
- [4] P. Fijałkowski, On the solvability of nonlinear elliptic systems in Sobolev spaces, ibid. 56 (1992), 149-156. Zbl0776.35017
- [5] A. Granas, R. Guenther and J. Lee, Nonlinear boundary value problems for ordinary differential equations, Dissertationes Math. 244 (1985). Zbl0615.34010
- [6] L. Hörmander, The Analysis of Linear Partial Differential Operators, Springer, Berlin, 1983. Zbl0521.35002
- [7] K. J. Palmer, On the complete continuity of differentiable mappings, J. Austral. Math. Soc. 9 (1969), 3-4. Zbl0174.19303
- [8] B. Przeradzki, On the solvability of singular BVP's for second-order ordinary differential equations, Ann. Polon. Math. 50 (1990), 279-289. Zbl0701.34006
- [9] K. Yosida, Functional Analysis, Springer, Berlin, 1980.
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