Results 31 to 40 of about 1,436 (207)

Le « Mountain Pass Theorem »

open access: yes, 2022
The "sente" (Latin semita, from se- (“apart”) and from the radical *mi, from meo (“to go”) has more to do with the weft, the crossroads, than with feeling or sensations.
Parrochia, Daniel
core  

Existence and Multiplicity of Solutions for a Class of Anisotropic Double Phase Problems

open access: yesAdvances in Mathematical Physics, 2020
We consider the following double phase problem with variable exponents: −div∇upx−2∇u+ax∇uqx−2∇u=λfx,u in Ω,u=0, on ∂Ω. By using the mountain pass theorem, we get the existence results of weak solutions for the aforementioned problem under some ...
Jie Yang, Haibo Chen, Senli Liu
doaj   +1 more source

Note on an anisotropic p-Laplacian equation in $R^n$

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2010
In this paper, we study a kind of anisotropic p-Laplacian equations in $R^n$. Nontrivial solutions are obtained using mountain pass theorem given by Ambrosetti-Rabinowitz.
S. El Manouni
doaj   +1 more source

On a Class of Schrödinger System Problem in Orlicz–Sobolev Spaces

open access: yesJournal of Function Spaces, 2022
Using the mountain pass theorem, we obtain the existence of a nontrivial and nonnegative weak solution of a quasi-linear Schrödinger system driven by the ω⋅-Laplacian operator in Orlicz–Sobolev spaces.
H. El-Houari, L. S. Chadli, H. Moussa
doaj   +1 more source

Existence of Solution for Two Classes of Quasilinear Systems Defined on a Nonreflexive Orlicz–Sobolev Spaces

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper proves the existence of nontrivial solution for two classes of quasilinear systems of the type −ΔΦ1u=Fu(x,u,v)+λRu(x,u,v)inΩ−ΔΦ2v=−Fv(x,u,v)−λRv(x,u,v)inΩu=v=0on∂Ω$$ \left\{\begin{array}{l}\hfill -{\Delta}_{\Phi_1}u={F}_u\left(x,u,v\right)+\lambda {R}_u\left(x,u,v\right)\kern0.1832424242424242em \mathrm{in}\kern0.3em \Omega ...
Lucas da Silva, Marco Souto
wiley   +1 more source

The Weak Core, Partition‐Based Universal Stability, and Their Risk Associations Through A Partial Order

open access: yesNaval Research Logistics (NRL), EarlyView.
ABSTRACT We are concerned with the stability of a transferable‐utility cooperative (TU) game. First, the concept of core can be weakened so that the blocking of changes is limited to only those with multilateral backings. This principle of consensual blocking, as well as the traditional core‐defining one of unilateral blocking and one straddling in ...
Jian Yang
wiley   +1 more source

Islam at the monastery: on infinity as subtractive truth L'islam au monastère : de l'infini comme vérité soustractive

open access: yesJournal of the Royal Anthropological Institute, EarlyView.
Based on ethnographic research at Rūm Orthodox Christian monasteries in Lebanon, the article studies scenes of Islam at the monastery as they intersect with anxious public debates on, and anthropological theorizations of, sectarianism and ‘Muslim–Christian’ relations in the Mashriq.
Aaron F. Eldridge
wiley   +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

Using Local Expert Knowledge to Measure Prices: Evidence From a Survey Experiment in Vietnam

open access: yesReview of Development Economics, EarlyView.
ABSTRACT Many countries lack spatially disaggregated consumer price data needed to estimate real inequality and spatial patterns of poverty. Such data are especially absent in poor countries where weak infrastructure and high transport costs create large price variation over space.
John Gibson, Trinh Le
wiley   +1 more source

Nonlinear boundary value problems of a class of elliptic equations involving critical variable exponents

open access: yesBoundary Value Problems, 2019
In this paper, we first obtain the existence of solutions for a class of elliptic equations involving critical variable exponents and nonlinear boundary values by the mountain pass theorem and concentration compactness principle.
Yingying Shan, Yongqiang Fu
doaj   +1 more source

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