Results 11 to 20 of about 3,811 (89)
Symmetric mountain pass lemma and sublinear elliptic equations
Journal of Differential Equations, 2016 This paper deals with the qualitative analysis of solutions of a class of quasilinear elliptic equations with Dirichlet zero boundary condition. The main result of this paper establishes a necessary and sufficient condition such that the zero solution is an accumulation point of the set of all solutions.
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Journal of Functional Analysis, 2005 In this paper it is proved a critical point theorem of mountain-pass type which yields a sequence of critical points converging to zero. The proof combines a pseudo-gradient property with a deformation lemma. The abstract result is applied for proving a multiplicity result for the semilinear elliptic equation \(-\Delta u=f(x,u)\) in \(\Omega\) under ...
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Mathematical Methods in the Applied Sciences, Volume 46, Issue 16, Page 16782-16801, 15 November 2023., 2023 In this article, we obtain the existence and infinitely many nontrivial solutions for a class of nonlinear critical anisotropic elliptic equations involving variable exponents and two real parameters, via combining the variational method, and the concentration‐compactness principle for anisotropic variable exponent under suitable assumptions on the ...
Nabil Chems Eddine +2 more
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Journal of Geophysical Research: Earth Surface, Volume 128, Issue 8, August 2023., 2023 Abstract Shallow landslides pose a significant threat to people and infrastructure. Despite significant progress in the understanding of such phenomena, the evaluation of the size of the landslide release zone, a crucial input for risk assessment, still remains a challenge.
Louis Guillet +4 more
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The Coherence of Buddhism: Relativism, Ethics, and Psychology
Journal of Religious Ethics, Volume 51, Issue 2, Page 321-341, June 2023., 2023 ABSTRACT This essay defends a Buddhist answer to the question of how a skeptical tradition might account for its moral position. Two domains in Buddhist thought and practice are often considered to be dissimilar, perhaps contradictory. On the one hand, there is an aspiration to nirvana and a philosophy that describes everything as “emptiness” and ...
Jonathan C. Gold
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Advanced algorithms for optimal meeting points in road networks
IET Intelligent Transport Systems, Volume 17, Issue 5, Page 1022-1036, May 2023., 2023 In this paper, we aim to identify the optimal meeting point on road networks when clients and facilities reside in non‐Euclidean spaces. We propose two efficient heuristic solutions based on approximate and adaptive query processing techniques by using randomized adaptive search and random direction search methods, respectively, to rapidly converge to ...
Kaijun Liu, Jianming Liu, Jingwei Zhang
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Moroccan Journal of Pure and Applied Analysis, 2023 We investigate the existence of non-trivial weak solutions for the following p(x)-Kirchhoff bi-nonlocal elliptic problem driven by both p(x)-Laplacian and p(x)-Biharmonic operators {M(σ)(Δp(x)2u-Δp(x)u)=λϑ(x)|u|q(x)-2u(∫Ωϑ(x)q(x)|u|q(x)dx)r in Ω,u∈W2,p(.)
Jennane Mohsine, Alaoui My Driss Morchid
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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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Journal of Applied Mathematics, 2013 This paper is devoted to multiple solutions of generalized asymptotical linear Hamiltonian systems satisfying Bolza boundary conditions. We classify the linear Hamiltonian systems by the index theory and obtain the existence and multiplicity of solutions
Yuan Shan, Baoqing Liu
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Periodic Solutions of a Class of Fourth-Order Superlinear Differential Equations
Abstract and Applied Analysis, 2012 This paper deals with the periodic solutions of a class of fourth-order superlinear differential equations. By using the classical variational techniques and symmetric mountain pass lemma, the periodic solutions of a single equation in literature are ...
Yanyan Li, Yuhua Long
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