Semilinear elliptic problems and concentration compactness on non-compact Riemannian manifolds

被引：0

作者：

Fieseler K.H. ^{[1
]}

Tintarev K. ^{[1
]}

机构：

[1] Department of Mathematics, Uppsala University, Uppsala 75106

来源：

The Journal of Geometric Analysis | 2003年 / 13卷 / 1期

关键词：

convergence; concentration; critical points; Laplace-Beltrami operator; semilinear equations;

D O I：

10.1007/BF02930997

中图分类号：

学科分类号：

摘要：

Existence of solution for semilinear problem with the Laplace-Beltrami operator on non-compact Riemannian manifolds with rich symmetries is proved by concentration compactness based on actions of the manifold's isometry group. © 2003 Mathematica Josephina, Inc.

引用

页码：67 / 75

页数：8

共 50 条

[1] Elliptic differential inclusions on non-compact Riemannian manifolds
Kristaly, Alexandru
Mezei, Ildiko I.
Szilak, Karoly
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, 69
[2] Elliptic problems on complete non-compact Riemannian manifolds with asymptotically non-negative Ricci curvature
Bisci, Giovanni Molica
Secchi, Simone
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2018, 177 : 637 - 672
[3] LIOUVILLE TYPE THEOREMS FOR SOLUTIONS OF SEMILINEAR EQUATIONS ON NON-COMPACT RIEMANNIAN MANIFOLDS
Losev, A. G.
Filatov, V. V.
[J]. VESTNIK UDMURTSKOGO UNIVERSITETA-MATEMATIKA MEKHANIKA KOMPYUTERNYE NAUKI, 2021, 31 (04): : 629 - 639
[4] ELLIPTIC BOUNDARY PROBLEMS IN NON-COMPACT MANIFOLDS .1.
OHWAKI, SI
[J]. PROCEEDINGS OF THE JAPAN ACADEMY, 1974, 50 (03): : 192 - 195
[5] Gradient estimates for a simple elliptic equation on complete non-compact Riemannian manifolds
Ma, Li
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 241 (01) : 374 - 382
[6] SEMILINEAR PARABOLIC PROBLEMS ON MANIFOLDS AND APPLICATIONS TO THE NON-COMPACT YAMABE PROBLEM
Zhang, Qi S.
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2000,
[7] Geodesic nets on non-compact Riemannian manifolds
Chambers, Gregory R.
Liokumovich, Yevgeny
Nabutovsky, Alexander
Rotman, Regina
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023, 2023 (799): : 287 - 303
[8] CLOSED GEODESICS ON NON-COMPACT RIEMANNIAN MANIFOLDS
THORBERGSSON, G
[J]. MATHEMATISCHE ZEITSCHRIFT, 1978, 159 (03) : 249 - 258
[9] Heat Content in Non-compact Riemannian Manifolds
van den Berg, M.
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2018, 90 (01)
[10] Heat Content in Non-compact Riemannian Manifolds
M. van den Berg
[J]. Integral Equations and Operator Theory, 2018, 90

← 1 2 3 4 5 →