On a priori estimates for positive solutions of a semilinear biharmonic equation in a ball
Commentationes Mathematicae Universitatis Carolinae (1985)
- Volume: 026, Issue: 3, page 565-577
- ISSN: 0010-2628
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topOswald, Patrick. "On a priori estimates for positive solutions of a semilinear biharmonic equation in a ball." Commentationes Mathematicae Universitatis Carolinae 026.3 (1985): 565-577. <http://eudml.org/doc/17405>.
@article{Oswald1985,
author = {Oswald, Patrick},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {positive radial symmetric; homogeneous Dirichlet problem; semilinear biharmonic equation; a priori; existence},
language = {eng},
number = {3},
pages = {565-577},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On a priori estimates for positive solutions of a semilinear biharmonic equation in a ball},
url = {http://eudml.org/doc/17405},
volume = {026},
year = {1985},
}
TY - JOUR
AU - Oswald, Patrick
TI - On a priori estimates for positive solutions of a semilinear biharmonic equation in a ball
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1985
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 026
IS - 3
SP - 565
EP - 577
LA - eng
KW - positive radial symmetric; homogeneous Dirichlet problem; semilinear biharmonic equation; a priori; existence
UR - http://eudml.org/doc/17405
ER -
References
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- R. NUSSBAUM, Positive solutions of some nonlinear elliptic boundary value problems, J. Math. Anal. Appl. 51 (1975), 461-482. (1975) MR0382850
- H. BREZIS R. E. L. TURNER, On a class of superlinear elliptic problems, Comm. in P.D.E. 2 (1977), 601-614. (1977) MR0509489
- S. I. POHOZAEV, Eigenfunctions of the equation , Soviet Math. Dokl. 6 (1965), 1408-1411. (1965) MR0192184
- B. GIDAS W.-M. NI L. NIRENBERG, Symmetric and related properties via the maximum principle, Comm. Math. Phys. 68 (1979), 209-243. (1979) MR0544879
- M. PROTTER H. WEINBERGER, Maximum principles in differential equations, Prentice Hall, Englewood Cliffs, 1967. (1967) MR0219861
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