Results 61 to 70 of about 1,268 (110)

Multiple solutions of a p-Kirchhoff equation with singular and critical nonlinearities

Electronic Journal of Differential Equations, 2017
In this article, we explore the existence of multiple solutions for a p-Kirchhoff equation with the nonlinearity containing both singular and critical terms.
Qin Li, Zuodong Yang, Zhaosheng Feng
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Maximum principle for delayed stochastic mean-field control problem with state constraint

Advances in Difference Equations, 2019
In this paper, we consider the optimal control problem for the mean-field stochastic differential equations with delay and state constraint. By virtue of the classical Ekeland’s variational principle, the duality method and a new type of mean-field ...
Li Chen, Jiandong Wang
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A generalization of Ekeland's variational principle with applications

Electronic Journal of Differential Equations, 2006
In this paper, we establish a variant of Ekeland's variational principle. This result suggest to introduce a generalization of the famous Palais-Smale condition.
Abdel R. El Amrouss, Najib Tsouli
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Eigenvalues for a Neumann Boundary Problem Involving the p(x)-Laplacian

Advances in Mathematical Physics, 2015
We study the existence of weak solutions to the following Neumann problem involving the p(x)-Laplacian operator:  -Δp(x)u+e(x)|u|p(x)-2u=λa(x)f(u), in  Ω, ∂u/∂ν=0, on  ∂Ω.
Qing Miao
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Ekeland’s Variational Principle and Minimization Takahashi’s Theorem in Generalized Metric Spaces

Mathematics, 2018
We consider a distance function on generalized metric spaces and we get a generalization of Ekeland Variational Principle (EVP). Next, we prove that EVP is equivalent to Caristi–Kirk fixed point theorem and minimization Takahashi’s theorem.
Eshagh Hashemi, Reza Saadati
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Concerning Kirk’s problem

Fixed Point Theory and Algorithms for Sciences and Engineering
This paper presents a straightforward statement for Khamsi’s theorem without assuming continuity or nondecreasing restrictions on η. Additionally, a new proof provides an affirmative answer to Kirk’s problem, supported by examples.
Hamid Mottaghi Golshan
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Maximum principle for a nonlinear size-structured model of fish and fry management

Nonlinear Analysis, 2018
This paper investigates the maximum principle for a nonlinear size-structured model that describes the optimal management of the fish resources taking into account harvesting the fish and putting the fry.
Rong Liu, Guirong Liu
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Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations

Boundary Value Problems, 2006
The goal of this paper is to study the existence and the multiplicity of non-trivial weak solutions for some degenerate nonlinear elliptic equations on the whole space RN. The solutions will be obtained in a subspace of the Sobolev space W1/p(RN).
Mihai Mihăilescu
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Modern perspectives in Proof Theory. [PDF]

Philos Trans A Math Phys Eng Sci, 2023
Aguilera JP, Pakhomov F, Weiermann A.
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An order drop theorem

Le Matematiche, 2006
A drop theorem on ordered metric spaces is established from the (pre) order version of Ekeland’s variational principle in Turinici [An St UAIC Ia (Math), 36 (1990), 329-352]. The logical equivalence between these results is also discussed.
Mihai Turinici
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