Hemivariational Inequalities Associated to Multivalued Problems with Strong Resonance

Author(s):  
Vicenţiu Rădulescu
2001 ◽  
Vol 131 (5) ◽  
pp. 1091-1111 ◽  
Author(s):  
Leszek Gasiński ◽  
Nikolaos S. Papageorgiou

In this paper we consider quasilinear hemivariational inequalities at resonance. We obtain existence theorems using Landesman-Lazer-type conditions and multiplicity theorems for problems with strong resonance at infinity. Our method of proof is based on the non-smooth critical point theory for locally Lipschitz functions and on a generalized version of the Ekeland variational principle.


2006 ◽  
Vol 26 (1) ◽  
pp. 59-73
Author(s):  
Filippakis Michael ◽  
Leszek Gasiński ◽  
Nikolaos S. Papageorgiou

2004 ◽  
Vol 56 (3) ◽  
pp. 331-345 ◽  
Author(s):  
Michael E. Filippakis ◽  
Leszek Gasinski ◽  
Nikolaos S. Papageorgiou

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Othmane Baiz ◽  
Hicham Benaissa ◽  
Zakaria Faiz ◽  
Driss El Moutawakil

AbstractIn the present paper, we study inverse problems for a class of nonlinear hemivariational inequalities. We prove the existence and uniqueness of a solution to inverse problems. Finally, we introduce an inverse problem for an electro-elastic frictional contact problem to illustrate our results.


2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
M. Mohan Raja ◽  
V. Vijayakumar ◽  
Le Nhat Huynh ◽  
R. Udhayakumar ◽  
Kottakkaran Sooppy Nisar

AbstractIn this paper, we investigate the approximate controllability of fractional evolution inclusions with hemivariational inequalities of order $1< r<2$ 1 < r < 2 . The main results of this paper are verified by using the fractional theories, multivalued analysis, cosine families, and fixed-point approach. At first, we discuss the existence of the mild solution for the class of fractional systems. After that, we establish the approximate controllability of linear and semilinear control systems. Finally, an application is presented to illustrate our theoretical results.


Proc. R. Soc. Lond. A 433, 131–150 (1991) Chaotic combustion of solids and high-density fluids near points of strong resonance B y Stephen B. Margolis Page 136. equations (2.13) should read : ϕ 1 = [e iω o τ o ∑ j=1 2 A j ( τ 2 cos m j x cos n j y ] + c. c. – ∑ j=1 2 b̂ j | A j ( τ 2 )| 2 τ 1 , θ 1 = [e iω o τ o f o ( z )∑ j=1 2 A j ( τ 2 cos m j x cos n j y ] + cc. + ∑ j=1 2 b̂ j | A j ( τ 2 )| 2 dϴ o /d z τ 1 . } (2.13) Pages 140-141, figure 3 e – h , the stable supercritical bifurcations at σ = σ q should have been drawn as subcritical (and unstable). Page 142, equation (3.15), for ± k 1 -2 In (| ρ -1 ± k 1 2 sin x ) read k 1 -2 In (| ρ | ± k 1 2 sin x ).


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