Multiple solutions for semilinear resonance elliptic problems with nonconstant coefficients at infinity

2012 ◽  
Vol 53 (12) ◽  
pp. 123524
Author(s):  
Rong Cheng ◽  
Jianhua Hu ◽  
Zhiyong Wang
Keyword(s):  
Multiple Solutions ◽  
Elliptic Problems

Existence and multiplicity of solutions for discontinuous elliptic problems in ℝ N

2020 ◽  
pp. 1-25
Author(s):  
Claudianor O. Alves ◽  
Ziqing Yuan ◽  
Lihong Huang
Keyword(s):  
Variational Principle ◽  
Variational Methods ◽  
Multiple Solutions ◽  
Elliptic Problems ◽  
Ekeland’S Variational Principle ◽  
Discontinuous Nonlinearity ◽  
Nontrivial Solutions ◽  
Ekeland's Variational Principle ◽  
Multiplicity Of Solutions ◽  
Existence And Multiplicity

Abstract This paper concerns with the existence of multiple solutions for a class of elliptic problems with discontinuous nonlinearity. By using dual variational methods, properties of the Nehari manifolds and Ekeland's variational principle, we show how the ‘shape’ of the graph of the function A affects the number of nontrivial solutions.

scholarly journals Multiple solutions for nonlocal elliptic problems driven by $ p(x) $-biharmonic operator

2021 ◽  
Vol 6 (4) ◽  
pp. 4156-4172
Author(s):  
Fang-Fang Liao ◽  
◽  
Shapour Heidarkhani ◽  
Shahin Moradi ◽  
Keyword(s):  
Multiple Solutions ◽  
Elliptic Problems ◽  
Biharmonic Operator
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