Results 41 to 50 of about 172 (137)

Ekeland’s variational principle in weak and strong systems of arithmetic [PDF]

Selecta Mathematica, 2020
AbstractWe analyze Ekeland’s variational principle in the context of reverse mathematics. We find that that the full variational principle is equivalent to $$\Pi ^1_1\text{- }\mathsf {CA}_0$$ Π 1 1 - CA 0 , a strong theory of second-order arithmetic, while natural restrictions (e.g.
David Fernández-Duque, Paul Shafer, Keita Yokoyama   +2 more
openaire   +4 more sources

Critical Point Theorems for Nonlinear Dynamical Systems and Their Applications

Fixed Point Theory and Applications, 2010
We present some new critical point theorems for nonlinear dynamical systems which are generalizations of Dancš-Hegedüs-Medvegyev's principle in uniform spaces and metric spaces by applying an abstract maximal element principle established ...
Wei-Shih Du
doaj   +1 more source

Multiplicity of Homoclinic Solutions for a Class of Nonperiodic Fourth-Order Differential Equations with General Perturbation

Abstract and Applied Analysis, 2014
In this paper, we investigate a class of nonperiodic fourth-order differential equations with general perturbation. By using the mountain pass theorem and the Ekeland variational principle, we obtain that such equations possess two homoclinic solutions ...
Liu Yang
doaj   +1 more source

An existence result for a Robin problem involving $p(x)$-Kirchhoff-type equation with indefinite weight [PDF]

AUT Journal of Mathematics and Computing
This paper discusses the existence of at least two distinct nontrivial weak solutions for a class of $p(x)$-Kirchhoff-type equation plus an indefinite potential under Robin boundary condition.
Mehdi Latifi, Mohsen Alimohammady
doaj   +1 more source

Product differentiation in the fruit industry: Lessons from trademarked apples

Agribusiness, Volume 42, Issue 1, Page 148-174, Winter 2026.
Abstract We derive price premiums for patented or trademarked apple varieties, also known as “club apples,” compared to open‐variety apples. We use an expansive retail scanner dataset, along with unique data on apple taste characteristics, to estimate monthly club apple premiums for 2008–2018.
Modhurima Dey Amin, Syed Badruddoza, Jill J. McCluskey, Gregory Astill   +3 more
wiley   +1 more source

On Ekeland's Variational Principle and a Minimax Theorem

Journal of Mathematical Analysis and Applications, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Normalized solutions of the critical Schrödinger–Bopp–Podolsky system with logarithmic nonlinearity

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract In this paper, we study the following critical Schrödinger–Bopp–Podolsky system driven by the p$p$‐Laplace operator and a logarithmic nonlinearity: −Δpu+V(εx)|u|p−2u+κϕu=λ|u|p−2u+ϑ|u|p−2ulog|u|p+|u|p*−2uinR3,−Δϕ+a2Δ2ϕ=4π2u2inR3.$$\begin{equation*} {\begin{cases} -\Delta _p u+\mathcal {V}(\varepsilon x)|u|^{p-2}u+\kappa \phi u=\lambda |u|^{p-2 ...
Sihua Liang, Xueqi Sun, Shuaishuai Liang, Vicenţiu D. Rădulescu   +3 more
wiley   +1 more source

Identification of random coefficient latent utility models

Quantitative Economics, Volume 16, Issue 4, Page 1223-1265, November 2025.
This paper provides nonparametric identification results for random coefficient distributions in perturbed utility models. We cover discrete choice and models of multiple purchases. We establish identification using variation in mean quantities. The results apply even when an analyst observes only aggregate demands but not whether goods are chosen ...
Roy Allen, John Rehbeck
wiley   +1 more source

Ekeland variational principle on weighted graphs

Proceedings of the American Mathematical Society, 2019
In this work, we give a graphical version of the Ekeland variational principle which enables us to discover a new version of the Caristi fixed point theorem in weighted digraphs not necessarily generated by a partial order. Then we show that both graphical versions of the Ekeland variational principle and Caristi’s fixed point theorem are equivalent ...
Monther Alfuraidan, Mohamed Khamsi
openaire   +1 more source

Ekeland Variational Principle in the Variable Exponent Sequence Spaces ℓ_p(·)

Mathematics, 2020
In this work , we investigate the modular version of the Ekeland variational principle (EVP) in the context of variable exponent sequence spaces ℓ p ( · ) . The core obstacle in the development of a modular version of the EVP is the failure
Monther R. Alfuraidan, Mohamed A. Khamsi   +1 more
doaj   +1 more source