Results 111 to 120 of about 359 (156)

Positive Ground State Solutions for Fractional (p, q)-Laplacian Choquard Equation with Singularity and Upper Critical Exponent

Fractal and Fractional
We prove the existence of a positive ground state solution for a fractional (p,q)-Laplacian Choquard equation that features both a singularity and an upper critical exponent.
Zhenyu Bai, Chuanzhi Bai
doaj   +1 more source

On the existence of G-symmetric entire solutions for semilinear elliptic equations

, 1992
We prove the existence of at least two solutions of problem (1).
Chabrowski J.
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Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy-Sobolev exponent and singular nonlinearity. [PDF]

J Inequal Appl, 2018
Shen L.
europepmc   +1 more source

Remarks on Multivalued Variants of Ekeland Principle with Applications

Symmetry
This review provides an extended discussion on multivalued variants of Ekeland’s variational principle, with the aim of highlighting the importance of this special type of result. After a presentation of the background containing general problems which appear in relation to this extended and current subject, three series of results are developed to ...
openaire   +1 more source

Existence of solutions for a second order problem on the half-line via Ekeland's variational principle

, 2016
In this paper we study the existence of nontrivial solutions for a nonlinear boundary value problem posed on the half-line.
O’Regan, O’Regan, Bouafia, D., Moussaoui, T.   +2 more
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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.
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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 by ...
Du Wei-Shih
doaj  

Infinitely many homoclinic solutions for second order nonlinear difference equations with p-Laplacian. [PDF]

ScientificWorldJournal, 2014
Sun G, Mai A.
europepmc   +1 more source

Pontryagin's principle in the control of semilinear elliptic variational inequalities

, 1989
This paper deals with necessary conditions satisfied by the optimal control of a variational inequality governed by a semilinear operator of elliptic type and a maximal monotone operator b in ÓÊx Ó. A non classical smoothing of b allows us to formulate a
Tiba, D., Bonnans, J. Frederic
core   +1 more source

Multiple solutions for Kirchhoff type problem near resonance

Electronic Journal of Differential Equations, 2015
Based on Ekeland's variational principle and the mountain pass theorem, we show the existence of three solutions to the Kirchhoff type problem $$\displaylines{ -\Big(a+b\int_{\Omega}|\nabla u|^2dx \Big) \Delta u =b \mu u^3+f(x,u)+h(x), \quad\text{in
Shu-Zhi Song, Chun-Lei Tang, Shang-Jie Chen   +2 more
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