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Quasilinear elliptic problems with exponential growth via the Nehari manifold method: Existence of nonnegative and nodal solutions

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Acta Mathematica Sinica,English Series 2024年

作者： giovany figue.re.o Sandra Moreira Ricardo Ruviaro Address Departamento de Matematica Universidade de Brasilia Departamento de Matematica e Informatica Universidade Estadual do Maranhao Departamento de Matematica Universidade de Brasilia

In this paper we will be concerned with the problem -Δu-1/2Δ(a（x）u2)u+V（x）u=f（u）,x∈R2，where V is a potential continuous and f : R → R is a superlinear continuous function with exponential subcritical or exponential critical growth. We use as a main tool the Nehari manifold method in order to show existence of nonnegative solutions and existence of nodal solutions. our results complement the classical result of solutions for quasilinear Schrodinger equations via the Nehari method due to Jia-quan Liu, Ya-qi Wang and Zhi-Qiang Wang in the sense that in this article we are considering nonlinearity of the exponential type.

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Bats and their vital ecosystem services:a global review

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Integrative Zoology 2022年第1期17卷 2-23页

作者： Leidy Azucena RAMÍreZ-FRÁNCEL Leidy Viviana GARCÍA-HERreRA Sergio LoSADA-PRADo Gladys reINoSo-FLÓreZ Alfonso SÁNCHEZ-HERNÁNDEZ Sergio ESTRADA-VILLEGAS Burton KLIM giovany GUEVARA Programa de Doctorado en Ciencias Biológicas&Grupo de Investigación en Zoología(GIZ) Facultad de CienciasUniversidad del TolimaIbaguéColombia Programa para la Conservación de los Murciélagos de Colombia BogotáD.C.Colombia Departamento de Biología&Grupo de Investigación en Zoología(GIZ) Facultad de CienciasUniversidad del TolimaIbaguéColombia Departamento de Matemáticas y Estadística Facultad de CienciasUniversidad del TolimaIbaguéColombia Yale School of the Environment Yale UniversityNew HavenConnecticutUSA Smithsonian Tropical research Institute BalboaRepublic of Panama Department of Natural History Royal Ontario MuseumTorontoOntarioCanada

Bats play crucial ecosystem services as seed dispersers,pollinators,controllers of insects,and nutrient ***,there has not been a thorough global review evaluating these roles in bats across all biogeographical regions of the *** reviewed the literature published during the last two decades and identified 283 relevant studies:78 dealt with the control of potential insect pests by bats,80 related to the suppression of other arthropods,60 on the dispersal of native or endemic seeds,11 dealt with the dispersal of seeds of introduced plants,29 on the pollination of native or endemic plants,1 study on pollination of introduced plants,and 24 on the use of guano as *** literature search showed that queries combining the terms“seed dispersal,”“insectivorous bats,”“nectarivorous bats,”“use of guano,”and“ecosystem services”returned 577 studies,but half were experimental in *** found that the evaluation of ecosystem services by bats has been mostly conducted in the Neotropical and Palearctic *** detect differences across relevant studies,and to explain trends in the study of ecosystem services provided by bats,we performed generalized linear mixed models(GLMM)fitted with a Poisson distribution to analyze potential differences among sampling *** identified 409 bat species that provide ecosystem services,752 insect species consumed by bats and 549 plant species either dispersed or pollinated by *** review summarizes the importance of conserving bat populations and the ecological services they provide,which is especially important during the current pandemic.

关键词： chiroptera ecosystem services frugivory,guano,insectivory nectarivory pest control pollination seed dispersal

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