Results 11 to 20 of about 20,803 (266)
Relations between the mountain pass theorem and local minima
Advances in Nonlinear Analysis, 2012 Existence results of two critical points for functionals unbounded from below are established after pointing out a characterization of the mountain pass geometry. Applications to elliptic Dirichlet problems are then presented.
Bonanno Gabriele
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British Educational Research Journal, EarlyView., 2023 Abstract Early childhood has increasingly been acknowledged as a vital time for all children. Inclusive and quality education is part of the United Nations Sustainable Development Goals, with the further specification that all children have access to quality pre‐primary education.
Laura H. V. Wright +8 more
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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
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The intrinsic mountain pass principle [PDF]
Topological Methods in Nonlinear Analysis, 1998 The celebrated mountain pass principle of Ambrosetti and Rabinowitz is one of the most important tools in nonlinear analysis for proving the existence of critical points of \(C^1\) real functionals. The authors establish in this paper a general mountain pass principle, dropping any smoothness or even continuity assumptions on the functional.
Ribarska, Nadezhda +2 more
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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
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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
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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
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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
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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
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GENERAL QUASILINEAR PROBLEMS INVOLVING \(p(x)\)-LAPLACIAN WITH ROBIN BOUNDARY CONDITION
Ural Mathematical Journal, 2020 This paper deals with the existence and multiplicity of solutions for a class of quasilinear problems involving \(p(x)\)-Laplace type equation, namely $$ \left\{\begin{array}{lll} -\mathrm{div}\, (a(| \nabla u|^{p(x)})| \nabla u|^{p(x)-2} \nabla u ...
Hassan Belaouidel +2 more
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