Results 71 to 80 of about 172 (137)

Constancy of Functions via a Complement to Ekeland Variational Principle

Mathematics
This paper establishes new criteria for the constancy of real-valued functions defined on general Banach spaces and on exterior domains in Rn. The main analytical tool is a complement to Ekeland’s variational principle, while several auxiliary lemmas ...
Filippo Cammaroto
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Multiple solutions for a problem with resonance involving the p-Laplacian

Abstract and Applied Analysis, 1998
In this paper we will investigate the existence of multiple solutions for the problem (P)                                                         −Δpu+g(x,u)=λ1h(x)|u|p−2u,     in     Ω,    u∈H01,p(Ω) where Δpu=div(|∇u|p−2∇u) is the p-Laplacian operator,
C. O. Alves, P. C. Carrião, O. H. Miyagaki   +2 more
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Multiple positive solutions for equations involving critical Sobolev exponent in R^N

Electronic Journal of Differential Equations, 1997
$$ -{ m div }(|abla u|^{m-2}abla u) = lambda h u^q+u^{m^*-1},quad{ m in}quad R^N,. $$ Using the Ekeland Variational Principle and the Mountain Pass Theorem, we show the existence of $lambda ^*>0$ such that there are at least two non-negative solutions ...
Claudianor Oliveira Alves
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Ekeland-type variational principle with applications to nonconvex minimization and equilibrium problems

Nonlinear Analysis, 2019
The aim of the present paper is to establish a variational principle in metric spaces without assumption of completeness when the involved function is not lower semicontinuous.
Iram Iqbal, Nawab Hussain
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Equivalent Extensions to Caristi-Kirk's Fixed Point Theorem, Ekeland's Variational Principle, and Takahashi's Minimization Theorem

Fixed Point Theory and Applications, 2010
With a recent result of Suzuki (2001) we extend Caristi-Kirk's fixed point theorem, Ekeland's variational principle, and Takahashi's minimization theorem in a complete metric space by replacing the distance with a τ-distance.
Zili Wu
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Existence of Exponential p-Stability Nonconstant Equilibrium of Markovian Jumping Nonlinear Diffusion Equations via Ekeland Variational Principle

Advances in Mathematical Physics, 2015
The authors obtained a delay-dependent exponential p-stability criterion for a class of Markovian jumping nonlinear diffusion equations by employing the Lyapunov stability theory and some variational methods.
Ruofeng Rao, Shouming Zhong
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Perturbed subcritical Dirichlet problems with variable exponents

Electronic Journal of Differential Equations, 2016
We study a class of nonhomogeneous elliptic problems with Dirichlet boundary condition and involving the p(x)-Laplace operator and power-type nonlinear terms with variable exponent.
Ramzi Alsaedi
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Ekeland Variational Principle in asymmetric locally convex spaces

Topology and its Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Multiple positive solutions for biharmonic equation of Kirchhoff type involving concave-convex nonlinearities

Electronic Journal of Differential Equations, 2020
In this article, we study the multiplicity of positive solutions for the biharmonic equation of Kirchhoff type involving concave-convex nonlinearities, $$ \Delta^2u-\Big(a+b\int_{\mathbb{R}^N}|\nabla u|^2dx\Big)\Delta u+V(x)u =\lambda f_1(x)|u|^{q-2 ...
Fengjuan Meng, Fubao Zhang, Yuanyuan Zhang   +2 more
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Existence of nontrivial solutions for a fractional p & q $p\&q$ -Laplacian equation with sandwich-type and sign-changing nonlinearities

Journal of Inequalities and Applications
In this paper, we deal with the following fractional p & q $p\&q$ -Laplacian problem: { ( − Δ ) p s u + ( − Δ ) q s u = λ a ( x ) | u | θ − 2 u + μ b ( x ) | u | r − 2 u in Ω , u ( x ) = 0 in R N ∖ Ω , $$ \left \{ \textstyle\begin{array}{l@{\quad }l ...
Qin Li, Zonghu Xiu, Lin Chen
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