Results 61 to 70 of about 20,803 (266)

The Existence of a Nontrivial Solution for a -Kirchhoff Type Elliptic Equation in

open access: yesAbstract and Applied Analysis, 2013
Using Mountain Pass lemma, under some appropriate assumptions, we establish the existence of one nontrivial solution for a class of p-Kirchhoff-type elliptic equations in .
Zonghu Xiu
doaj   +1 more source

Existence of solutions for a class of quasilinear degenerate $p(x)$-Laplace equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2018
We study the existence of weak solutions for a degenerate $p(x)$-Laplace equation. The main tool used is the variational method, more precisely, the Mountain Pass Theorem.
Qing-Mei Zhou, Jian-Fang Wu
doaj   +1 more source

Existence and multiplicity of solutions for a differential inclusion problem involving the p(x)-Laplacian

open access: yesElectronic Journal of Differential Equations, 2010
In this article we consider the differential inclusion $$displaylines{ -hbox{div}(| abla u|^{p(x)-2} abla u)in partial F(x,u) quadhbox{in }Omega,cr u=0 quad hbox{on }partial Omega }$$ which involves the $p(x)$-Laplacian.
Guowei Dai
doaj  

A review of the historic and present ecological role of aquatic and shoreline wood, from forest to deep sea

open access: yesBiological Reviews, EarlyView.
ABSTRACT The ecology of forests, their losses, and terrestrial wood decomposition dynamics have been intensively studied and reviewed. In the aquatic realm, reviews have concentrated on large wood (LW) in rivers and the transition from freshwater to marine environments in the Pacific Northwest of North America. However, a comprehensive global synthesis
Jon Dickson   +9 more
wiley   +1 more source

Beyond mammals: the evolution of chewing and other forms of oropharyngeal food processing in vertebrates

open access: yesBiological Reviews, EarlyView.
ABSTRACT Oropharyngeal food processing exhibits a remarkable diversity among vertebrates, reflecting the evolution of specialised ‘processing centres’ associated with the mandibular, hyoid, and branchial arches. Although studies have detailed various food‐processing strategies and mechanisms across vertebrates, a coherent and comprehensive terminology ...
Daniel Schwarz   +6 more
wiley   +1 more source

Early evolutionary history of the seed

open access: yesBiological Reviews, EarlyView.
ABSTRACT The seed is an essential stage in the life history of gymnospermous and angiospermous plants, facilitating both their survival and dispersal. We reappraise knowledge of the evolutionary history of the gymnospermous seed, from its origin in the late Devonian through to the well‐known end‐Permian extinctions – an interval encompassing the ...
Richard M. Bateman   +2 more
wiley   +1 more source

Multiple solutions for Schrodinger-Maxwell systems with unbounded and decaying radial potentials

open access: yesElectronic Journal of Differential Equations, 2014
This article concerns the nonlinear Schrodinger-Maxwell system $$\displaylines{ -\Delta u +V(|x|)u +Q(|x|)\phi u=Q(|x|) f(u),\quad \hbox{in } \mathbb{R}^3\cr -\Delta \phi =Q(|x|) u^{2}, \quad \hbox{in } \mathbb{R}^3 }$$ where V and Q are unbounded ...
Fangfang Liao   +2 more
doaj  

Extent, characteristics and policy applications of Key Biodiversity Areas

open access: yesBiological Reviews, EarlyView.
ABSTRACT A global standard for the identification of Key Biodiversity Areas (KBAs) was published 10 years ago to provide a unified set of criteria for identifying ‘sites of significance for the global persistence of biodiversity’. We review the initiative's origins, the KBA identification process, characteristics of the current network, threats, policy
Stuart H. M. Butchart   +57 more
wiley   +1 more source

Ground-state periodic traveling waves for Fermi-Pasta-Ulam-type systems on a two-dimensional lattice

open access: yesResearches in Mathematics
The paper is devoted to the Fermi-Pasta-Ulam-type system describing an infinite system of nonlinearly coupled particles on a two-dimensional integer-valued lattice. Each particle is assumed to interact nonlinearly with its four nearest neighbors.
S.M. Bak, H.M. Kovtoniuk
doaj   +1 more source

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