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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2017

2017

- Jianhua Chen, Xianhua Tang, Bitao Cheng
- Appl. Math. Lett.
- 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

- Xiaoming He, Wenming Zou
- 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

- A. Taghavi, G. A. Afrouziand, Hamideh Ghorbani
- 2013

In this paper, we consider the system

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2013

2013

- Haining Fan, Xiaochun Liu
- 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

- Ching-yu Chen, Tsung-fang Wu
- Applied Mathematics and Computation
- 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

- K. Adriouch, Anahita Hamidi
- 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

- Yanyan Li
- 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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