Results 61 to 70 of about 1,141 (123)

Variational analysis for Dirichlet impulsive differential equations with oscillatory nonlinearity

, 2013
By using variational methods and critical point theory, we establish the existence of infinitely many solutions for second-order impulsive di¤erential equations with Dirichlet boundary conditions, depending on two real parameters.
G. Afrouzi, A. Hadjian, Vicentiu D. Rădulescu   +2 more
semanticscholar   +1 more source

Multiple perturbations of a singular eigenvalue problem

, 2015
We study the perturbation by a critical term and a $(p-1)$-superlinear subcritical nonlinearity of a quasilinear elliptic equation containing a singular potential. By means of variational arguments and a version of the concentration-compactness principle
Cencelj, Matija, Repovš, Dušan, Virk, Žiga   +2 more
core   +1 more source

On a geometric equation involving the Sobolev trace critical exponent

, 2013
In this paper we consider the problem of prescribing the mean curvature on the boundary of the unit ball of Rn, n≥4. Under the assumption that the prescribed function is flat near its critical point, we give precise estimates on the losses of the ...
M. Al-Ghamdi, H. Chtioui, Khadijah Sharaf   +2 more
semanticscholar   +1 more source

Multi-Bump Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity: The Topological Effect of Potential Wells

Advanced Nonlinear Studies, 2021
In this article, we are interested in multi-bump solutions of the singularly perturbed ...
Jin Sangdon
doaj   +1 more source

Infinitely Many Solutions for the Nonlinear Schrödinger–Poisson System with Broken Symmetry

Advanced Nonlinear Studies, 2021
In this paper, we consider the following Schrödinger–Poisson system with perturbation:
Guo Hui, Wang Tao
doaj   +1 more source

On the spectrum of Robin boundary p-Laplacian problem

Moroccan Journal of Pure and Applied Analysis, 2019
We study the following nonlinear eigenvalue problem with nonlinear Robin boundary ...
Khalil Abdelouahed El
doaj   +1 more source

Existence of periodic solutions with prescribed minimal period of a 2nth-order discrete system

Open Mathematics, 2019
In this paper, we concern with a 2nth-order discrete system. Using the critical point theory, we establish various sets of sufficient conditions for the existence of periodic solutions with prescribed minimal period. To the best of our knowledge, this is
Liu Xia, Zhou Tao, Shi Haiping
doaj   +1 more source

Large Energy Bubble Solutions for Schrödinger Equation with Supercritical Growth

Advanced Nonlinear Studies, 2021
We consider the following nonlinear Schrödinger equation involving supercritical growth:
Guo Yuxia, Liu Ting
doaj   +1 more source

Symmetry in variational principles and applications [PDF]

, 2011
We formulate symmetric versions of classical variational principles. Within the framework of non-smooth critical point theory, we detect Palais-Smale sequences with additional second order and symmetry information. We discuss applications to PDEs, fixed point theory and geometric analysis.
arxiv   +1 more source

Multiple concentrating solutions for a fractional (p, q)-Choquard equation

Advanced Nonlinear Studies
We focus on the following fractional (p, q)-Choquard problem: (−Δ)psu+(−Δ)qsu+V(εx)(|u|p−2u+|u|q−2u)=1|x|μ*F(u)f(u) in RN,u∈Ws,p(RN)∩Ws,q(RN),u>0 in RN, $\begin{cases}{\left(-{\Delta}\right)}_{p}^{s}u+{\left(-{\Delta}\right)}_{q}^{s}u+V\left(\varepsilon ...
Ambrosio Vincenzo
doaj   +1 more source