Results 111 to 120 of about 33,455 (264)
Maximum principles for Laplacian and fractional Laplacian with critical integrability
, 2019 In this paper, we study maximum principles for Laplacian and fractional Laplacian with critical integrability. We first consider $-\Delta u(x)+c(x)u(x)\geq 0$ in $B_1$ where $c(x)\in L^{p}(B_1)$, $B_1\subset \mathbf{R}^n$. As is known that $p=\frac{n}{2}$
Lü, Yingshu
core
Water Resources Research, Volume 62, Issue 2, February 2026.Abstract Total Suspended Solids (TSS) significantly degrade water quality by reducing light penetration and oxygen availability, while facilitating the transport of toxic contaminants. Managing TSS in watersheds requires an understanding of both hydrological connectivity and pollutant dynamics; however, these efforts are significantly constrained by ...
Jesus Guzmán Pérez +2 more
wiley +1 more source
Methods in Ecology and Evolution, Volume 17, Issue 2, Page 272-290, February 2026.Abstract Conservation of marine ecosystems can be improved through a better understanding of ecosystem functioning, particularly the cryptic underwater behaviours and interactions of marine predators. Image‐based bio‐logging devices (including images, videos and active acoustic) are increasingly used to monitor wildlife movements, foraging behaviours ...
Marianna Chimienti +14 more
wiley +1 more source
Methods in Ecology and Evolution, Volume 17, Issue 2, Page 301-321, February 2026.Abstract Quantifying the structure and dynamics of species interactions in ecological communities is fundamental to studying ecology and evolution. While there are numerous approaches to analysing ecological networks, there is not yet an approach that can (1) quantify dissimilarity in the global structure of ecological networks that range from ...
Kai M. Hung +4 more
wiley +1 more source
A pointwise inequality for fractional laplacians
Advances in Mathematics, 2015 The fractional laplacian is an operator appearing in several evolution models where diffusion coming from a L vy process is present but also in the analysis of fluid interphases. We provide an extension of a pointwise inequality that plays a r le in their study. We begin recalling two scenarios where it has been used.
Cordoba Barba, Antonio +1 more
openaire +4 more sources
Existence of positive solutions for integral boundary value problems of fractional differential equations with p-Laplacian [PDF]
, 2017 Luchao Zhang +3 more
openalex +1 more source
A complex network perspective on brain disease
Biological Reviews, Volume 101, Issue 1, Page 364-399, February 2026.ABSTRACT If brain anatomy and dynamics have a complex network structure as it has become standard to posit, it is reasonable to assume that such a structure should play a key role not only in brain function but also in brain dysfunction. However, exactly how network structure is implicated in brain damage and whether at least some pathologies can be ...
David Papo, Javier M. Buldú
wiley +1 more source
Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane +3 more
wiley +1 more source
Martin Kernel for Fractional Laplacian in Narrow Cones [PDF]
, 2015 Krzysztof Bogdan +2 more
openalex +1 more source
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 521-530, 30 January 2026.ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang +2 more
wiley +1 more source