scholarly journals On the semilinear fractional elliptic equations with singular weight functions

2017 ◽  
Vol 22 (11) ◽  
pp. 0-0
Author(s):  
Ying-Chieh Lin ◽  
◽  
Tsung-Fang Wu
Keyword(s):  
Elliptic Equations ◽  
Weight Functions ◽  
Singular Weight

scholarly journals Multiple Positive Solutions for Semilinear Elliptic Equations with Sign-Changing Weight Functions in

2011 ◽  
Vol 2011 ◽  
pp. 1-16
Author(s):  
Tsing-San Hsu
Keyword(s):  
Positive Solutions ◽  
Elliptic Equations ◽  
Semilinear Elliptic Equation ◽  
Nehari Manifold ◽  
Weight Functions ◽  
Multiple Positive Solutions ◽  
Existence And Multiplicity ◽  
Semilinear Elliptic ◽  
Multiplicity Of Positive Solutions ◽  
The Nehari Manifold

Existence and multiplicity of positive solutions for the following semilinear elliptic equation: in , , are established, where if if , , satisfy suitable conditions, and maybe changes sign in . The study is based on the extraction of the Palais-Smale sequences in the Nehari manifold.

scholarly journals Heat Trace Asymptotics with Singular Weight Functions II

2010 ◽  
Vol 21 (4) ◽  
pp. 870-901
Author(s):  
M. van den Berg ◽  
P. Gilkey ◽  
K. Kirsten
Keyword(s):  
Weight Functions ◽  
Singular Weight ◽  
Heat Trace

scholarly journals Multiple Positive Solutions for Semilinear Elliptic Equations in Involving Concave-Convex Nonlinearities and Sign-Changing Weight Functions

2010 ◽  
Vol 2010 ◽  
pp. 1-21 ◽  
Author(s):  
Tsing-San Hsu ◽  
Huei-Li Lin
Keyword(s):  
Elliptic Equation ◽  
Positive Solutions ◽  
Elliptic Equations ◽  
Semilinear Elliptic Equation ◽  
Semilinear Elliptic Equations ◽  
Weight Functions ◽  
Multiple Positive Solutions ◽  
Existence And Multiplicity ◽  
Semilinear Elliptic ◽  
Multiplicity Of Positive Solutions

We study the existence and multiplicity of positive solutions for the following semilinear elliptic equation in , , where , if , if ), , satisfy suitable conditions, and may change sign in .

scholarly journals Heat trace asymptotics with singular weight functions

2009 ◽  
Vol 17 (3) ◽  
pp. 529-563 ◽  
Author(s):  
P. Gilkey ◽  
K. Kirsten ◽  
R. Seeley ◽  
M. van den Berg
Keyword(s):  
Weight Functions ◽  
Singular Weight ◽  
Heat Trace
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