Nehari manifold

In the calculus of variations, a branch of mathematics, a Nehari manifold is a manifold of functions, whose definition is motivated by the work of… (More)
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2001-2017
024620012017

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2017
2017
In this paper, we study the following generalized quasilinear Schrödinger equation −div(g(u)∇u) + g(u)g′(u)|∇u|2 + V (x)u = f(x… (More)
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2016
2016
  • Huxiao Luoa, Xianhua Tanga, Jianhua Chena, Jian Zhangb, Roonak Saadati
  • 2016
We consider the semilinear Schrödinger equation { −4 u+ V (x)u = K(x)|u|2−2u+ f(x, u), x ∈ RN , u ∈ H1(RN ), where N ≥ 4, 2… (More)
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2015
2015
We study the combined effect of concave and convex nonlinearities on the number of positive solutions for a fractional system… (More)
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2013
2013
1 1 , , 0, , r s p u u h x u dx g x u dx x u x + + −∆ = + ∈ Ω = ∈ ∂Ω () 1, 0 p W Ω () () () 1 1 , 0. r s p u x h x u dx g x u dx… (More)
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2013
2013
In this paper, we consider the system 
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2013
2013
In this article, we show the existence of multiple positive solutions to a class of degenerate elliptic equations involving… (More)
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2012
2012
In this paper, we study the combined effect of concave and convex nonlinearities on the number of solutions for an indefinite… (More)
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2005
2005
This paper deals with existence and multiplicity results of nonlocal positive solutions to the following system  −∆pu = λ|u|p1… (More)
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2004
2004
For a class of semilinear parabolic equations on a bounded domain Ω, we analyze the behavior of the solutions when the initial… (More)
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2001
2001
In the last decade or so, variational gluing methods have been widely used to construct homoclinic and heteroclinic type… (More)
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