scholarly journals Existence and Nonexistence of Positive Solutions for Singular -Laplacian Equation in

2010 ◽  
Vol 2010 (1) ◽  
pp. 607453
Author(s):  
Caisheng Chen ◽  
Zhenqi Wang ◽  
Fengping Wang
Keyword(s):  
Positive Solutions ◽  
Laplacian Equation ◽  
Existence And Nonexistence

scholarly journals Positive solutions for a system of fractional differential equations with p-Laplacian operator and multi-point boundary conditions

2018 ◽  
Vol 23 (5) ◽  
pp. 771-801 ◽  
Author(s):  
Rodica Luca
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Positive Solutions ◽  
Fractional Differential Equations ◽  
Fractional Derivatives ◽  
Existence Results ◽  
Laplacian Operator ◽  
Point Boundary ◽  
Existence And Nonexistence ◽  
Fractional Differential

>We investigate the existence and nonexistence of positive solutions for a system of nonlinear Riemann–Liouville fractional differential equations with parameters and p-Laplacian operator subject to multi-point boundary conditions, which contain fractional derivatives. The proof of our main existence results is based on the Guo–Krasnosel'skii fixed-point theorem.

RADIAL SOLUTIONS FOR WEIGHTED SEMILINEAR EQUATIONS

2002 ◽  
Vol 04 (03) ◽  
pp. 529-545 ◽  
Author(s):  
FLORIN CATRINA ◽  
RICHARD LAVINE
Keyword(s):  
Positive Solutions ◽  
Radial Solutions ◽  
Semilinear Equations ◽  
Existence And Nonexistence

In this paper we prove the exact cut-off between existence and nonexistence of radial solutions in a class of problems of the Brezis–Nirenberg type. We obtain this by studying the existence/nonexistence of positive solutions in [Formula: see text] for -vtt+¼v=vp-1 +λe-ctv, for different values of the parameters c>0 and λ, for p≥2.

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