asymptotically linear problems
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2012 ◽  
Vol 193 (1) ◽  
pp. 89-101 ◽  
Author(s):  
Rossella Bartolo ◽  
Anna Maria Candela ◽  
Addolorata Salvatore

2012 ◽  
Vol 12 (4) ◽  
Author(s):  
David Arcoya ◽  
Eduardo Colorado ◽  
Tommaso Leonori

AbstractThis work deals with bifurcation of positive solutions for some asymptotically linear problems, involving the square root of the Laplacian (−Δ)with Ω ⊂ ℝ


2007 ◽  
Vol 50 (3) ◽  
pp. 356-364 ◽  
Author(s):  
Michael E. Filippakis ◽  
Nikolaos S. Papageorgiou

AbstractIn this paper we investigate the existence of positive solutions for nonlinear elliptic problems driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality). Under asymptotic conditions that make the Euler functional indefinite and incorporate in our framework the asymptotically linear problems, using a variational approach based on nonsmooth critical point theory, we obtain positive smooth solutions. Our analysis also leads naturally to multiplicity results.


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