Results 41 to 50 of about 24,150 (220)

Variational approach for a Steklov problem involving nonstandard growth conditions

AIMS Mathematics, 2023
The aim of this paper is to study the multiplicity of solutions for a nonlocal p(x)-Kirchhoff type problem with Steklov boundary value in variable exponent Sobolev spaces.
Zehra Yucedag
doaj   +1 more source

Nonlinear problems on the Sierpi\'nski gasket

, 2017
This paper concerns with a class of elliptic equations on fractal domains depending on a real parameter. Our approach is based on variational methods.
Ambrosetti, Anello, Bonanno, Bonanno, Breckner, Breckner, Breckner, Breckner, Breckner, Breckner, Brézis, Dušan Repovš, Falconer, Falconer, Falconer, Ferrara, Fukushima, Giovanni Molica Bisci, He, Hu, Kristály, Molica Bisci, Pucci, Rabinowitz, Raffaella Servadei, Ricceri, Ricceri, Ricceri, Ricceri, Strichartz, Strichartz, Struwe   +31 more
core   +1 more source

Multiplicity of positive solutions for second order quasilinear equations [PDF]

Mathematica Bohemica, 2020
We discuss the existence and multiplicity of positive solutions for a class of second order quasilinear equations. To obtain our results we will use the Ekeland variational principle and the Mountain Pass Theorem.
Dahmane Bouafia, Toufik Moussaoui, Donal O'Regan   +2 more
doaj   +1 more source

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

Advances 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

Nonlocal Kirchhoff superlinear equations with indefinite nonlinearity and lack of compactness

, 2019
We study the following Kirchhoff equation $$- \left(1 + b \int_{\mathbb{R}^3} |\nabla u|^2 dx \right) \Delta u + V(x) u = f(x,u), \ x \in \mathbb{R}^3.$$ A special feature of this paper is that the nonlinearity $f$ and the potential $V$ are indefinite ...
Li, Lin, Repovš, Dušan D., Rădulescu, Vicenţiu D.   +2 more
core   +2 more sources

The Existence Result for a p-Kirchhoff-Type Problem Involving Critical Sobolev Exponent

Journal of Function Spaces, 2023
In this paper, by using the mountain pass theorem and the concentration compactness principle, we prove the existence of a positive solution for a p-Kirchhoff-type problem with critical Sobolev exponent.
Hayat Benchira, Atika Matallah, Mohammed El Mokhtar Ould El Mokhtar, Khadija Sabri   +3 more
doaj   +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, EarlyView.
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

Modeling the Probability of Tsunami Fire Ignition Based on Data From the 2011 Tohoku and 2024 Noto Peninsula Earthquakes, With Recommendations to Reduce Emerging Fire Risk in Tsunami Vertical Evacuation Structures

Earthquake Engineering &Structural Dynamics, EarlyView.
ABSTRACT Recent tsunamigenic earthquakes in Japan have highlighted the emerging fire hazard triggered by tsunami inundation and its impact on tsunami vertical evacuation (TVE) structures. This new type of fire following earthquake, referred to as “tsunami fires,” may be a potential universal hazard that tsunami‐prone countries face; however, it has not
Tomoaki Nishino
wiley   +1 more source

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

Naval 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

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

Journal 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