Results 21 to 30 of about 850,462 (296)
Advances in Difference Equations, 2019 In this paper, we prove a new quantitative deformation lemma, and then gain a new mountain pass theorem in Hilbert spaces. By using the new mountain pass theorem, we obtain the new existence of two nontrivial periodic solutions for a class of nonlinear ...
Liang Ding, Jinlong Wei, Shiqing Zhang
doaj +1 more source
Abstract and Applied Analysis, 2014 This paper is concerned with the existence and multiplicity of fast homoclinic solutions for a class of damped vibration problems with impulsive effects.
Qiongfen Zhang
doaj +1 more source
Standing wave solutions of a quasilinear degenerate Schrödinger equation with unbounded potential
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We are concerned with the existence of entire distributional nontrivial solutions for a new class of nonlinear partial differential equations. The differential operator was introduced by A. Azzolini et al.
Nejmeddine Chorfi, Vicenţiu Rădulescu
doaj +1 more source
Аж богдын нурууны физик газарзүйн тодорхойлолт
Proceedings of the Mongolian Academy of Sciences, 2017 Mountain Aj Bogd is one of branch mountains the mount systems Mongol Altai, which is located at the middle part of Mongol Altai mountain. Mountain Aj Bogd is similar with surface typology, deposits, form relief, erosion and accumulation process, mountain
Авирмэд Э +1 more
doaj +1 more source
Numerical Mountain Pass and its Applications [PDF]
PAMM, 2006 AbstractThe mountain pass theorem is an important tool in the calculus of variations and in finding solutions to nonlinear PDEs in general. The mountain pass structure can be exploited numerically, as well. We explain the main ideas on an example of buckling of a cylindrical shell.
Horák, J., Lord, G.J., Peletier, M.A.
openaire +1 more source
Mountain pass techniques for some classes of nonvariational problems
, 2009 Existence results are presented for classical solutions to some nonvariational problems through a suitable approximation method of Mountain Pass critical ...
Matzeu, M +9 more
core +1 more source
Advances in Difference Equations, 2020 We consider the combined effect of concave–convex nonlinearities on the number of solutions for an indefinite truncated Kirchhoff-type system involving the weight functions.
Qingjun Lou, Yupeng Qin
doaj +1 more source
Mountain Passes and Saddle Points
SIAM Review, 2015 Variational methods find solutions of equations by considering a solution as a critical point of an appropriately chosen function. Local minima and maxima are well-known types of critical points. We explore methods for finding critical points that are neither local maxima or minima, but instead are mountain passes or saddle points.
openaire +3 more sources
Cylinder Buckling: The Mountain Pass as an Organizing Center [PDF]
SIAM Journal on Applied Mathematics, 2006 We revisit the classical problem of the buckling of a long thin axially compressed cylindrical shell. By examining the energy landscape of the perfect cylinder, we deduce an estimate of the sensitivity of the shell to imperfections. Key to obtaining this estimate is the existence of a mountain pass point for the system.
Jirí Horák +2 more
openaire +3 more sources
Boundary Value Problems, 2018 In this paper, we concern with the following Schrödinger-Poisson system: {−Δu+ϕu=f(x,u),x∈Ω,−Δϕ=u2,x∈Ω,u=ϕ=0,x∈∂Ω, $$ \textstyle\begin{cases} -\Delta u+\phi u = f(x,u) , & x\in\Omega,\\ -\Delta\phi=u^{2}, & x\in\Omega,\\ u=\phi=0, & x \in\partial\Omega, \
Belal Almuaalemi +2 more
doaj +1 more source