On multiple solutions of the Neumann problem involving the critical Sobolev exponent

Colloquium Mathematicum ◽

10.4064/cm101-2-5 ◽

2004 ◽

Vol 101 (2) ◽

pp. 203-220 ◽

Cited By ~ 1

Author(s):

Jan Chabrowski

Keyword(s):

Neumann Problem ◽

Multiple Solutions ◽

Critical Sobolev Exponent ◽

The Neumann Problem ◽

Sobolev Exponent

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Multiple solutions of an inhomogeneous Neumann problem for an elliptic system with critical Sobolev exponent

Nonlinear Analysis ◽

10.1016/j.na.2011.10.005 ◽

2012 ◽

Vol 75 (4) ◽

pp. 2047-2059

Author(s):

Yajing Zhang

Keyword(s):

Neumann Problem ◽

Elliptic System ◽

Multiple Solutions ◽

Critical Sobolev Exponent ◽

Sobolev Exponent

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The Neumann Problem for Semilinear Elliptic Equations with Critical Sobolev Exponent

Milan Journal of Mathematics ◽

10.1007/s00032-006-0065-1 ◽

2007 ◽

Vol 75 (1) ◽

pp. 197-224 ◽

Cited By ~ 4

Author(s):

Jan Chabrowski

Keyword(s):

Neumann Problem ◽

Elliptic Equations ◽

Critical Sobolev Exponent ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic ◽

The Neumann Problem ◽

Sobolev Exponent

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On the Neumann problem for an elliptic system of equations involving the critical Sobolev exponent

Colloquium Mathematicum ◽

10.4064/cm90-1-2 ◽

2001 ◽

Vol 90 (1) ◽

pp. 19-35 ◽

Cited By ~ 10

Author(s):

J. Chabrowski ◽

Jianfu Yang

Keyword(s):

Neumann Problem ◽

Elliptic System ◽

Critical Sobolev Exponent ◽

System Of Equations ◽

The Neumann Problem ◽

Sobolev Exponent

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On multiple solutions of the exterior Neumann problem involving critical Sobolev exponent

Topological Methods in Nonlinear Analysis ◽

10.12775/tmna.2005.026 ◽

2005 ◽

Vol 26 (1) ◽

pp. 89 ◽

Cited By ~ 1

Author(s):

Jan Chabrowski ◽

Michael Willem

Keyword(s):

Neumann Problem ◽

Multiple Solutions ◽

Critical Sobolev Exponent ◽

Sobolev Exponent

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Symmetric solutions of the Neumann problem involving a critical Sobolev exponent

Topological Methods in Nonlinear Analysis ◽

10.12775/tmna.2002.001 ◽

2002 ◽

Vol 19 (1) ◽

pp. 1 ◽

Cited By ~ 2

Author(s):

Jan Chabrowski ◽

Pedro M. Girāo

Keyword(s):

Neumann Problem ◽

Critical Sobolev Exponent ◽

The Neumann Problem ◽

Sobolev Exponent

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On the nonlinear Neumann problem involving the critical Sobolev exponent on the boundary

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2003.10.036 ◽

2004 ◽

Vol 290 (2) ◽

pp. 605-619 ◽

Cited By ~ 3

Author(s):

J. Chabrowski

Keyword(s):

Neumann Problem ◽

Critical Sobolev Exponent ◽

Nonlinear Neumann Problem ◽

Sobolev Exponent

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Inhomogeneous Neumann problem with critical Sobolev exponent

Advances in Nonlinear Analysis ◽

10.1515/anona-2012-0004 ◽

2012 ◽

Vol 1 (3) ◽

Author(s):

Jan Chabrowski

Keyword(s):

Neumann Problem ◽

Critical Sobolev Exponent ◽

Sobolev Exponent

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Multi-peak solutions for a semilinear Neumann problem involving the critical Sobolev exponent

Mathematische Zeitschrift ◽

10.1007/pl00004663 ◽

1998 ◽

Vol 229 (3) ◽

pp. 443-474 ◽

Cited By ~ 42

Author(s):

Changfeng Gui ◽

Nassif Ghoussoub

Keyword(s):

Neumann Problem ◽

Critical Sobolev Exponent ◽

Sobolev Exponent

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On Multiple Solutions of Quasilinear Equations Involving the Critical Sobolev Exponent

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1998.6230 ◽

1999 ◽

Vol 231 (1) ◽

pp. 142-160 ◽

Cited By ~ 6

Author(s):

Yisheng Huang

Keyword(s):

Multiple Solutions ◽

Critical Sobolev Exponent ◽

Quasilinear Equations ◽

Sobolev Exponent

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Multiple solutions for some Neumann problems in exterior domains

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972700035395 ◽

2006 ◽

Vol 73 (3) ◽

pp. 353-364 ◽

Cited By ~ 1

Author(s):

Tsing-San Hsu ◽

Huei-Li Lin

Keyword(s):

Neumann Problem ◽

Multiple Solutions ◽

The Other ◽

Exterior Domains ◽

Neumann Problems ◽

The Neumann Problem

In this paper, we show that if q(x) satisfies suitable conditions, then the Neumann problem -Δu+u = q(x)ⅠuⅠp−2u in Ω has at least two solutions of which one is positive and the other changes sign.

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