Results 41 to 50 of about 839,332 (169)
Nontrivial Solutions of a Class of Fourth-Order Elliptic Problems with Potentials
Fractal and Fractional, 2022 This paper deals with a fourth-order elliptic equation with Dirichlet boundary conditions. Using a variant form of the mountain pass theorem, we prove the existence of nontrivial solutions to this problem.
Jiabin Zuo +2 more
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Transactions of the Philological Society, Volume 124, Issue 1, Page 168-199, March 2026.Abstract This study investigates the lexicographical potential of Medieval Latin documentation from the Venetian area of the Italo‐Romance domain, highlighting the need for a systematic approach to bridge Latin and vernacular linguistic developments. The project MEDITA – Medieval Latin Documentation and Digital Italo‐Romance Lexicography.
Jacopo Gesiot
wiley +1 more source
四川大学学报. 自然科学版, 2018 Under the suitable ranges of parameters and given assumptions, by using Ekeland variations principle、mountain pass lemma、concentration compactness lemma and some analysis techniques, Kirchhoff-type equations with critical exponents and nonhomogeneous ...
Ding Ling, WANG Ji-Xiu, ZHANG Dan-Dan
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Infinitely Many Solutions for a Class of Fractional Impulsive Coupled Systems with (p,q)-Laplacian
Discrete Dynamics in Nature and Society, 2018 By using the symmetric mountain pass lemma, we investigate the problem of existence of infinitely many solutions for a class of fractional impulsive coupled systems with (p,q)-Laplacian, which possesses mixed type nonlinearities, and the nonlinearities ...
Junping Xie, Xingyong Zhang
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Numerical Study of a Nonlocal Nonlinear Schrödinger Equation (MMT Model)
Studies in Applied Mathematics, Volume 156, Issue 3, March 2026.ABSTRACT In this paper, we study a nonlocal nonlinear Schrödinger equation (MMT model). We investigate the effect of the nonlocal operator appearing in the nonlinearity on the long‐term behavior of solutions, and we identify the conditions under which the solutions of the Cauchy problem associated with this equation are bounded globally in time in the ...
Amin Esfahani, Gulcin M. Muslu
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Existence of solitons for discrete nonlinear Schrodinger equations
Electronic Journal of Differential Equations, 2016 By using the Mountain Pass Lemma, we establish sufficient conditions for the existence of solitons for the discrete nonlinear Schrodinger equations.
Haiping Shi, Yuanbiao Zhang
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Homoclinic solutions of 2nth-order difference equations containing both advance and retardation
Open Mathematics, 2016 By using the critical point method, some new criteria are obtained for the existence and multiplicity of homoclinic solutions to a 2nth-order nonlinear difference equation.
Long Yuhua, Zhang Yuanbiao, Shi Haiping
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Urban Agriculture &Regional Food Systems, Volume 11, Issue 1, 2026.Abstract Soils provide vital services for agricultural productivity, carbon sequestration, biodiversity conservation, and environmental sustainability. However, soil acidity poses a major threat to soil quality and sustainable food production globally, including in Ethiopia.
Elias Dogiso +3 more
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Existence of multiple solutions for a quasilinear Neumann problem with critical exponent
Boundary Value Problems, 2018 The main purpose of this paper is to establish the existence and multiplicity of nontrivial solutions for a quasilinear Neumann problem with critical exponent.
Yuanxiao Li, Suxia Xia
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IET Networks, Volume 15, Issue 1, January/December 2026.This paper proposes an improved Exponential–Trigonometric Optimisation algorithm for dynamic 3D UAV trajectory planning in cluttered and uncertain environments. By integrating optimised Latin hypercube sampling, adaptive exploration–exploitation control and probabilistic local refinement, the method improves search robustness, convergence stability and
Baofeng Ji +4 more
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