Existence and multiplicity results for fractional differential inclusions with Dirichlet boundary conditions

2013 ◽  
Vol 220 ◽  
pp. 792-801 ◽  
Author(s):  
Kaimin Teng ◽  
Hongen Jia ◽  
Haifeng Zhang
Keyword(s):  
Boundary Conditions ◽  
Differential Inclusions ◽  
Dirichlet Boundary ◽  
Dirichlet Boundary Conditions ◽  
Fractional Differential Inclusions ◽  
Multiplicity Results ◽  
Existence And Multiplicity ◽  
Fractional Differential

scholarly journals Variational analysis for Dirichlet impulsive fractional differential inclusions involving the p-Laplacian

2019 ◽  
Vol 13 (1) ◽  
pp. 111-130
Author(s):  
Samad Kolagar ◽  
Ghasem Afrouzi ◽  
John Graef
Keyword(s):  
Weak Solutions ◽  
Variational Analysis ◽  
Differential Inclusions ◽  
Dirichlet Boundary ◽  
Point Theory ◽  
Dirichlet Boundary Conditions ◽  
Fractional Differential Inclusions ◽  
Impulsive Differential Inclusions ◽  
Fractional Differential ◽  
Two Parameters

By using variational methods and critical point theory, the authors establish the existence of infinitely many weak solutions for impulsive differential inclusions involving two parameters and the p-Laplacian and having Dirichlet boundary conditions.

Multiplicity Results for a Class of Asymptotically Linear Elliptic Problems With Resonance and Applications to Problems With Measure Data

2010 ◽  
Vol 10 (2) ◽  
Author(s):  
Alberto Ferrero ◽  
Claudio Saccon
Keyword(s):  
Boundary Conditions ◽  
Bounded Domain ◽  
Dirichlet Boundary ◽  
Elliptic Problems ◽  
Dirichlet Boundary Conditions ◽  
Measure Data ◽  
Dirichlet Problems ◽  
Asymptotically Linear ◽  
Multiplicity Results ◽  
Existence And Multiplicity

AbstractWe study existence and multiplicity results for solutions of elliptic problems of the type -Δu = g(x; u) in a bounded domain Ω with Dirichlet boundary conditions. The function g(x; s) is asymptotically linear as |s| → +∞. Also resonant situations are allowed. We also prove some perturbation results for Dirichlet problems of the type -Δu = g

scholarly journals Existence Results for Fractional Differential Inclusions with Multivalued Term Depending on Lower-Order Derivative

2012 ◽  
Vol 2012 ◽  
pp. 1-24 ◽  
Author(s):  
Xiaoyou Liu ◽  
Zhenhai Liu
Keyword(s):  
Boundary Conditions ◽  
Lower Order ◽  
Differential Inclusions ◽  
Integral Boundary Conditions ◽  
Existence Results ◽  
Inclusion Problem ◽  
Fractional Differential Inclusions ◽  
Integral Boundary ◽  
Separated Boundary Conditions ◽  
Fractional Differential

This paper is concerned with a class of fractional differential inclusions whose multivalued term depends on lower-order fractional derivative with fractional (non)separated boundary conditions. The cases of convex-valued and non-convex-valued right-hand sides are considered. Some existence results are obtained by using standard fixed point theorems. A possible generalization for the inclusion problem with integral boundary conditions is also discussed. Examples are given to illustrate the results.

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