Results 11 to 20 of about 76 (76)
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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A singular Coxeter presentation
Proceedings of the London Mathematical Society, Volume 126, Issue 3, Page 923-996, March 2023., 2023 Abstract We enlarge a Coxeter group into a category, with one object for each finite parabolic subgroup, encoding the combinatorics of double cosets. This category, the singular Coxeter monoid, is connected to the geometry of partial flag varieties. Our main result is a presentation of this category by generators and relations.
Ben Elias, Hankyung Ko
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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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Infinitely many solutions for Schrödinger–Kirchhoff-type equations involving indefinite potential
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper, we study the multiplicity of solutions for the following Schrödinger–Kirchhoff-type equation \[ \begin{cases}-\left(a+b\int_{\mathbb{R}^N}|\nabla u|^2dx\right)\triangle u+V(x)u=f(x,u)+g(x,u), \quad x\in \mathbb{R}^N,\\ u\in H^1(\mathbb{R}^
Qingye Zhang, Bin Xu
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Journal of Applied Mathematics, 2012 We study the following fourth-order elliptic equations: Δ2𝑢+𝑎Δ𝑢=𝑓(𝑥,𝑢),𝑥∈Ω,𝑢=Δ𝑢=0,𝑥∈𝜕Ω, where Ω⊂ℝ𝑁 is a bounded domain with smooth boundary 𝜕Ω and 𝑓(𝑥,𝑢) is asymptotically linear with respect to 𝑢 at infinity.
Qiong Liu, Dengfeng Lü
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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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