scholarly journals Landesman–Lazer conditions for resonant p-Laplacian problems with jumping nonlinearities

2016 ◽  
Vol 261 (10) ◽  
pp. 5829-5843 ◽  
Author(s):  
Bryan P. Rynne
Keyword(s):  
Jumping Nonlinearities

scholarly journals Sign-changing and multiple solutions for thep-Laplacian

2002 ◽  
Vol 7 (12) ◽  
pp. 613-625 ◽  
Author(s):  
Siegfried Carl ◽  
Kanishka Perera
Keyword(s):  
Positive Solution ◽  
Multiple Solutions ◽  
Negative Solution ◽  
Jumping Nonlinearities

We obtain a positive solution, a negative solution, and a sign-changing solution for a class ofp-Laplacian problems with jumping nonlinearities using variational and super-subsolution methods.

Homogenization with jumping nonlinearities

1984 ◽  
Vol 138 (1) ◽  
pp. 211-221 ◽  
Author(s):  
L. Boccardo ◽  
T. Gallouet
Keyword(s):  
Jumping Nonlinearities

Periodic solutions of forced Liénard equations with jumping nonlinearities under nonuniform conditions

1988 ◽  
Vol 110 (3-4) ◽  
pp. 183-198 ◽  
Author(s):  
R. Iannacci ◽  
M.N. Nkashama ◽  
P. Omari ◽  
F. Zanolin
Keyword(s):  
Differential Equation ◽  
Asymptotic Behaviour ◽  
Periodic Solutions ◽  
Homogeneous Problem ◽  
A Priori ◽  
Critical Values ◽  
Liénard Equations ◽  
Jumping Nonlinearities ◽  
Existence Of Periodic Solutions ◽  
Image Position

SynopsisThis paper is devoted to the existence of periodic solutions for the scalar forced Lienard differential equationThe key assumptions relate the asymptotic behaviour as x →± ∞of g(t; x)/x to the “critical values” of the positively 1-homogeneous problemNo condition on f, except continuity, is assumed. Our approach is based on Leray–Schauder degree techniques and a priori estimates.

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