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Existence and multiplicity of solutions for a new p(x)-Kirchhoff equation

open access: yesAdvances in Nonlinear Analysis
This article is devoted to study a class of new p(x)p\left(x)-Kirchhoff equation. By means of perturbation technique, variational method, and the method invariant sets for the descending flow, the existence and multiplicity of solutions to this problem ...
Chu Changmu, Liu Jiaquan
doaj   +1 more source

Infinitely many solutions to superlinear second order m-point boundary value problems

open access: yesBoundary Value Problems, 2011
We consider the boundary value problem u ″ ( x ) + g ( u ( x ) ) + p ( x , u ( x ) , u ′ ( x ) ) = 0 , x ∈ ( 0 , 1 ) , u ( 0 ) = 0 , u ( 1 ) = ∑ i = 1 m - 2 ...
Chen Xiaoqiang, Ma Ruyun, Gao Chenghua
doaj  
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Domain variations of the first eigenvalue via a strict Faber-Krahn type inequality

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On the Fučí k spectrum for the $p$-Laplacian

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A homotopy along $p$ for systems with a vector $p$-Laplace operator

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Some remarks on bifurcation

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Ireneo Peral Alonso
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