Results 11 to 20 of about 488,781 (331)
This article focuses on the history of the formation of seasonal trade caravan routes passing through the southern regions of Central Asia to bring closer the interstate relations of our history in the middle ages.
Bahriddinov Asadullo Dilmonovich
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Nonlinear Scalar Field Equations with L2 Constraint: Mountain Pass and Symmetric Mountain Pass Approaches [PDF]
We study the existence of radially symmetric solutions of the following nonlinear scalar field equations in ℝN{\mathbb{R}^{N}} (N≥2{N\geq 2}):
Hirata Jun, Tanaka Kazunaga
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In this paper, we prove a new quantitative deformation lemma, and then gain a new mountain pass theorem in Hilbert spaces. By using the new mountain pass theorem, we obtain the new existence of two nontrivial periodic solutions for a class of nonlinear ...
Liang Ding, Jinlong Wei, Shiqing Zhang
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Mountain pass solutions for nonlocal equations
In this paper, the authors study the following nonlocal Dirichlet problem: \[ \left\{\begin{aligned} &\left[M\Big(\int_{\Omega} |\nabla u(x)|^p\,dx\Big)\right]^{p-1}\Delta_pu = f(x,u) \quad \text{in } \Omega, \\ &u|_{\partial\Omega} =0, \end{aligned}\right.
Giovanni Molica Bisci +1 more
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A Mountain Pass to the Jacobian Conjecture [PDF]
AbstractThis paper presents an approach to injectivity theorems via the Mountain Pass Lemma and raises an open question. The main result of this paper (Theorem 1.1) is proved by means of the Mountain Pass Lemma and states that if the eigenvalues of are uniformly bounded away from zero for x ∊ Rn, where is a class C1 map, then F is injective. This was
Marc Chamberland, Gary H. Meisters
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The main purpose is to establish the variational structure of a fourth-order ordinary differential system with both instantaneous and non-instantaneous impulses.
Xia Minggang +2 more
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Following a comparative analysis, the article explores the practices and representations associated with mountain pass landscapes among the communities of cyclists and trekkers.
Yannick Hascoët +4 more
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Existence and multiplicity of solutions for a new p(x)-Kirchhoff problem with variable exponents
In this article, we study a class of new p(x)-Kirchhoff problem without satisfying the Ambrosetti-Rabinowitz type growth condition. Under some suitable superliner conditions, we introduce new methods to show the boundedness of Cerami sequences.
Chu Changmu, Xie Yanling, Zhou Dizhi
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Anisotropic problems with unbalanced growth
The main purpose of this paper is to study a general class of (p, q)-type eigenvalues problems with lack of compactness. The reaction is a convex-concave nonlinearity described by power-type terms.
Alsaedi Ahmed, Ahmad Bashir
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Multiple solutions for a quasilinear Choquard equation with critical nonlinearity
In the present work, we are concerned with the multiple solutions for quasilinear Choquard equation with critical nonlinearity in RN{{\mathbb{R}}}^{N}.
Li Rui, Song Yueqiang
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