Results 71 to 80 of about 145,855 (140)

Second-order derivative of domain-dependent functionals along Nehari manifold trajectories

, 2020
Assume that a family of domain-dependent functionals EΩt EΩt possesses a corresponding family of least energy critical points ut which can be found as (possibly nonunique) minimizers of EΩt EΩt over the associated Nehari manifold N(Ωt) N ...
Kolonitskii, Sergey, Bobkov, Vladimír, Sergey Kolonitskii, Vladimir Bobkov   +3 more
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Nehari manifold approach for fractional p(.)-Laplacian system involving concave-convex nonlinearities [PDF]

, 2020
In this article, using Nehari manifold method we study the multiplicity of solutions of the nonlocal elliptic system involving variable exponents and concave-convex nonlinearities, (-∆)sp(∙)u = λα(x)|u|q(x)-2u + α(x)/α(x) + β(x) c(x)|u|α(x)-2 u|v|β(x), x
Biswas, Reshmi, Tiwari, Sweta, Sweta Tiwari, Reshmi Biswas   +3 more
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Ground state solutions for asymptotically periodic Schrodinger equations with critical growth

Electronic Journal of Differential Equations, 2013
Using the Nehari manifold and the concentration compactness principle, we study the existence of ground state solutions for asymptotically periodic Schrodinger equations with critical growth.
Hui Zhang, Junxiang Xu, Fubao Zhang
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Existence of Multiple Solutions for a -Kirchhoff Problem with Nonlinear Boundary Conditions

The Scientific World Journal, 2013
The paper considers the existence of multiple solutions of the singular nonlocal elliptic problem , ,   = , on , where , . By the variational method on the Nehari manifold, we prove that the problem has at least two positive solutions when some ...
Zonghu Xiu, Caisheng Chen
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Periodic solutions for second-order even and noneven Hamiltonian systems

Boundary Value Problems
In this paper, we consider the second-order Hamiltonian system x ¨ + V ′ ( x ) = 0 , x ∈ R N . $$ \ddot{x}+V^{\prime}(x)=0,\quad x\in \mathbb{R}^{N}. $$ We use the monotonicity assumption introduced by Bartsch and Mederski (Arch. Ration. Mech. Anal.
Juan Xiao, Xueting Chen
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On the Existence of Ground State Solutions of the Periodic Discrete Coupled Nonlinear Schrödinger Lattice

Journal of Applied Mathematics, 2013
We study the existence of ground state solutions of the periodic discrete coupled nonlinear Schrödinger lattice by using the Nehari manifold approach combined with periodic approximations. We show that both of the components of the ground state solutions
Meihua Huang, Zhan Zhou
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On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations

Abstract and Applied Analysis, 2013
The purpose of this paper is to study a class of discrete nonlinear Schrödinger equations. Under a weak superlinearity condition at infinity instead of the classical Ambrosetti-Rabinowitz condition, the existence of standing waves of the equations is ...
Guowei Sun
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Multiple positive solutions for Kirchhoff problems with sign-changing potential

Electronic Journal of Differential Equations, 2015
In this article, we study the existence and multiplicity of positive solutions for a class of Kirchhoff type equations with sign-changing potential. Using the Nehari manifold, we obtain two positive solutions.
Gao-Sheng Liu, Chun-Yu Lei, Liu-Tao Guo, Hong Rong   +3 more
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Infinitely Many Nontrivial Solutions of Resonant Cooperative Elliptic Systems with Superlinear Terms

Abstract and Applied Analysis, 2014
We study a class of resonant cooperative elliptic systems and replace the Ambrosetti-Rabinowitz superlinear condition with general superlinear conditions.
Guanwei Chen, Shiwang Ma
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Multiplicity of positive solutions for a Navier boundary-value problem involving the p-biharmonic with critical exponent

Electronic Journal of Differential Equations, 2011
By using the Nehari manifold and variational methods, we prove that a p-biharmonic system has at least two positive solutions when the pair the parameters satisfy certain inequality.
Ying Shen, Jihui Zhang
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