scholarly journals Existence and multiplicity of solutions to a p(x)-Laplacian equation with nonlinear boundary condition on unbounded domain

2013 ◽  
pp. 595-611
Author(s):  
Qiao Liu ◽  
Duchao Liu
Keyword(s):  
Boundary Condition ◽  
Unbounded Domain ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Condition ◽  
Multiplicity Of Solutions ◽  
Laplacian Equation ◽  
Existence And Multiplicity

Multiplicity of Solutions For a Convex-concave Problem With a Nonlinear Boundary Condition

2006 ◽  
Vol 6 (1) ◽  
Author(s):  
Emerson A.M. Abreu ◽  
Paulo C. Carrião ◽  
Olímpio H. Miyagaki
Keyword(s):  
Boundary Condition ◽  
Positive Solutions ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Condition ◽  
Multiple Positive Solutions ◽  
Multiplicity Of Solutions

AbstractWe study the existence of multiple positive solutions for a convex-concave problem, denoted by (P

scholarly journals Existence and multiplicity of solutions for a fractional p-Laplacian equation with perturbation

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Zhen Zhi ◽  
Lijun Yan ◽  
Zuodong Yang
Keyword(s):  
Variational Methods ◽  
Bounded Domain ◽  
Analytical Techniques ◽  
Nontrivial Solutions ◽  
Multiplicity Results ◽  
Multiplicity Of Solutions ◽  
Laplacian Equation ◽  
Existence And Multiplicity

AbstractIn this paper, we consider the existence of nontrivial solutions for a fractional p-Laplacian equation in a bounded domain. Under different assumptions of nonlinearities, we give existence and multiplicity results respectively. Our approach is based on variational methods and some analytical techniques.

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