Results 51 to 60 of about 38,310 (232)

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

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

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

Amendment Thresholds and Voting Rules in Debt Contracts

Journal of Accounting Research, EarlyView.
ABSTRACT Most loan contracts in the United States contain a provision for lender voting rules. We study the optimal voting rule that allows lenders to waive a covenant violation. When lenders have heterogeneous preferences, lenient voting rules increase the probability of waivers that allow inefficient investments.
JUDSON CASKEY, KANYUAN HUANG, DANIEL SAAVEDRA   +2 more
wiley   +1 more source

Multiplicity results for logarithmic double phase problems via Morse theory

Bulletin of the London Mathematical Society, EarlyView.
Abstract In this paper, we study elliptic equations of the form −divL(u)=f(x,u)inΩ,u=0on∂Ω,$$\begin{align*} -\operatorname{div}\mathcal {L}(u)=f(x,u)\quad \text{in }\Omega, \quad u=0 \quad \text{on } \partial \Omega, \end{align*}$$where divL$\operatorname{div}\mathcal {L}$ is the logarithmic double phase operator given by div|∇u|p−2∇u+μ(x)|∇u|q(e+|∇u ...
Vicenţiu D. Rădulescu, Matheus F. Stapenhorst, Patrick Winkert   +2 more
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