Results 51 to 60 of about 465 (165)

On p‐Laplace Equations with Singular Nonlinearities and Critical Sobolev Exponent

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this paper, we deal with p‐Laplace equations with singular nonlinearities and critical Sobolev exponent. By using the Nehari manifold, Mountain Pass theorem, and Maximum principle theorem, we prove the existence of at least four distinct nontrivial solutions.
Mohammed El Mokhtar ould El Mokhtar, Andrea Scapellato   +1 more
wiley   +1 more source

On an elliptic system of p(x)-Kirchhoff-type under neumann boundary condition

Mathematical Modelling and Analysis, 2012
In the present paper, by using the direct variational method and the Ekeland variational principle, we study the existence of solutions for an elliptic system of p(x)-Kirchhoff-type under Neumann boundary condition and show the existence of a weak ...
Zehra Yucedag, Mustafa Avci, Rabil Mashiyev   +2 more
doaj   +1 more source

On a class of fractional p(., .)-Kirchhoff-Schrödinger system type

European Journal of Mathematics and Applications, 2023
In the present article, we study the existence of a weak solution to an elliptic system of Kirchhoff-Shrodinger type, driven by the fractional $p(.,.)$-Laplacian operator.
H. El-Houari, L.S. Chadli, H. Moussa
doaj  

New contributions for tripled fixed point methodologies via a generalized variational principle with applications

Alexandria Engineering Journal, 2022
This manuscript was built to generalize Ekeland variational principle for mixed monotone functions in the setting of partially ordered complete metric spaces.
Hasanen A. Hammad, Hassen Aydi, Manuel De la Sen   +2 more
doaj   +1 more source

Localization of Nash-type equilibria for systems with partial variational structure

Journal of Numerical Analysis and Approximation Theory, 2023
In this paper, we aim to generalize an existing result by obtaining localized solutions within bounded convex sets, while also relaxing specific initial assumptions.
Andrei Stan
doaj   +1 more source

Multiplicity results for a class of $p(x)$-Kirchhoff type equations with combined nonlinearities

Electronic Journal of Qualitative Theory of Differential Equations, 2012
Using the mountain pass theorem combined with the Ekeland variational principle, we obtain at least two distinct, non-trivial weak solutions for a class of $p(x)$-Kirchhoff type equations with combined nonlinearities.
Nguyen Thanh Chung
doaj   +1 more source

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

Combined effects of concave and convex nonlinearities in nonperiodic fourth-order equations

Electronic Journal of Qualitative Theory of Differential Equations, 2018
In this paper, we consider the multiplicity of nontrivial solutions for a class of nonperiodic fourth-order equation with concave and convex nonlinearities.
Ruiting Jiang, Chengbo Zhai
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