Results 61 to 70 of about 8,805 (153)

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

Brezis–Nirenberg type results for the anisotropic p$p$‐Laplacian

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract In this paper, we consider a quasilinear elliptic and critical problem with Dirichlet boundary conditions in presence of the anisotropic p$p$‐Laplacian. The critical exponent is the usual p★$p^{\star }$ such that the embedding W01,p(Ω)⊂Lp★(Ω)$W^{1,p}_{0}(\Omega) \subset L^{p^{\star }}(\Omega)$ is not compact.
Stefano Biagi, Francesco Esposito, Alberto Roncoroni, Eugenio Vecchi   +3 more
wiley   +1 more source

Existence and multiplicity of solutions to operator equations involving duality mappings on Sobolev spaces with variable exponents

Electronic Journal of Differential Equations, 2015
The aim of this article is to study the existence and multiplicity of solutions to operator equations involving duality mappings on Sobolev spaces with variable exponents.
Pavel Matei
doaj  

Multi‐Physically Programmable Tubular Origami Metamaterials: Exploitable Nexus of Geometry, Folding Mechanics and Stimuli‐Responsive Physics

Advanced Science, Volume 12, Issue 36, September 25, 2025.
This article presents an insightful review on the exploitable nexus of geometry, folding mechanics and stimuli‐responsive physics for achieving active programmability in tubular origami metamaterials and metastructures, highlighting the broad‐spectrum potential in innovative applications across the length scales, along with critically analysing the ...
A. Sharma, S. Naskar, T. Mukhopadhyay
wiley   +1 more source

Existence results and applications for general variational-hemivariational inequalities on unbounded domains

Electronic Journal of Differential Equations, 2009
In this paper we give an existence result for a class of variational-hemivariational inequality on unbounded domain using the mountain pass theorem and the principle of symmetric criticality for Motreanu-Panagiotopoulos type functionals.
Ildiko-Ilona Mezei, Lia Saplacan
doaj  

Multiplicity and existence of solutions for generalized quasilinear Schrödinger equations with sign-changing potentials

Boundary Value Problems, 2020
We consider a class of generalized quasilinear Schrödinger equations − div ( l 2 ( u ) ∇ u ) + l ( u ) l ′ ( u ) | ∇ u | 2 + V ( x ) u = f ( u ) , x ∈ R N , $$ -\operatorname{div}\bigl(l^{2}(u)\nabla u\bigr)+l(u)l'(u) \vert \nabla u \vert ^{2}+V(x)u= f(u)
Chen Huang
doaj   +1 more source

Mountain pass solutions for the fractional Berestycki-Lions problem

, 2017
We investigate the existence of least energy solutions and infinitely many solutions for the following nonlinear fractional equation (-\Delta)^{s} u = g(u) \mbox{ in } \mathbb{R}^{N}, where $s\in (0,1)$, $N\geq 2$, $(-\Delta)^{s}$ is the fractional ...
Ambrosio, Vincenzo
core  

Space‐Time Causal Discovery in Earth System Science: A Local Stencil Learning Approach

Journal of Geophysical Research: Machine Learning and Computation, Volume 2, Issue 3, September 2025.
Abstract Causal discovery tools enable scientists to infer meaningful relationships from observational data, spurring advances in fields as diverse as biology, economics, and climate science. Despite these successes, the application of causal discovery to space‐time systems remains immensely challenging due to the high‐dimensional nature of the data ...
J. Jake Nichol, Michael Weylandt, G. Matthew Fricke, Melanie E. Moses, Diana Bull, Laura P. Swiler   +5 more
wiley   +1 more source

Multiple solutions for a class of superquadratic fractional Hamiltonian systems

Universal Journal of Mathematics and Applications, 2018
In this paper, we are concerned with the existence of solutions for a class of fractional Hamiltonian systems \[\left\{ \begin{array}{l} _{t}D_{\infty}^{\alpha}(_{-\infty}D_{t}^{\alpha}u)(t)+L(t)u(t)=\nabla W(t,u(t)),\ t\in\mathbb{R}\\ u\in H^{\alpha ...
Mohsen Timoumi
doaj   +1 more source

Quasilinear elliptic equations in $\RN$ via variational methods and Orlicz-Sobolev embeddings

, 2012
In this paper we prove the existence of a nontrivial non-negative radial solution for a quasilinear elliptic problem. Our aim is to approach the problem variationally by using the tools of critical points theory in an Orlicz-Sobolev space. A multiplicity
Azzollini, Antonio, d'Avenia, Pietro, Pomponio, Alessio   +2 more
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