Results 41 to 50 of about 1,440 (207)

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

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 13324-13360, August 2026.
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

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

Electronic 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

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

Naval Research Logistics (NRL), Volume 73, Issue 5, Page 810-835, August 2026.
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

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

Boundary 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

From Resistivity to Hydraulic Properties: Calibrating a Groundwater Flow Model by Integrating Airborne Electromagnetic and Borehole Data Into a Probabilistic Multi‐Texture Framework

Water Resources Research, Volume 62, Issue 8, August 2026.
Abstract Airborne electromagnetic (AEM) surveys offer rapid, cost‐effective subsurface imaging, yet converting their electrical resistivity (ER) models into physically meaningful hydraulic property fields for groundwater models remains a challenge. We develop and demonstrate a data‐driven workflow for an unconsolidated sedimentary aquifer system in ...
Leland Scantlebury, Thomas Harter
wiley   +1 more source

The mountain pass theorem: variants, generalizations and some applications [PDF]

, 2003
This 2003 book presents min-max methods through a study of the different faces of the Mountain Pass Theorem of Ambrosetti and ...
Jabri, Youssef
core  

A nontrivial solution of mountain-pass type for a hemivariational inequality [PDF]

, 2003
We consider a class of noncoercive hemivariational inequalities involving the p-Laplacian. Our goal is to obtain the existence of a nontrivial solution.
Halidias, Nikolaos
core   +1 more source

Random finite element analysis on ground subsidence caused by tunnel excavation in karst regions with spatial variable soil

Deep Underground Science and Engineering, Volume 5, Issue 2, Page 615-632, June 2026.
This study investigates ground subsidence during tunnel excavation in karst areas, highlighting the combined effects of karst cave proximity, cave size, and soil spatial variability. Findings suggest that shorter cave distances and larger cave sizes increase subsidence variability, and a modified Peck formula is proposed for more accurate subsidence ...
Zhenghong Su, Yong Fu, Miaomiao Sun, Kailin Ding, Ying Zhao   +4 more
wiley   +1 more source

Solutions of nonlinear problems involving p(x)-Laplacian operator

Advances in Nonlinear Analysis, 2015
In the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving p(x)-Laplacian.
Yücedağ Zehra
doaj   +1 more source

Existence of multiple positive solutions for a truncated Kirchhoff-type system involving weight functions and concave–convex nonlinearities

Advances in Difference Equations, 2020
We consider the combined effect of concave–convex nonlinearities on the number of solutions for an indefinite truncated Kirchhoff-type system involving the weight functions.
Qingjun Lou, Yupeng Qin
doaj   +1 more source