Results 11 to 20 of about 195 (91)

Species survival versus eigenvalues

open access: yesAbstract and Applied Analysis, Volume 2004, Issue 2, Page 115-131, 2004., 2004
Mathematical models describing the behavior of hypothetical species in spatially heterogeneous environments are discussed and analyzed using the fibering method devised and developed by S. I. Pohozaev.
Luiz Antonio Ribeiro de Santana   +2 more
wiley   +1 more source

Trajectories under a vectorial potential on stationary manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 23, Page 1481-1495, 2003., 2003
By using variational methods, we study the existence and multiplicity of trajectories under a vectorial potential on (standard) stationary Lorentzian manifolds possibly with boundary.
Rossella Bartolo
wiley   +1 more source

On the eigengraph for p-biharmonic equations with Rellich potentials and weight

open access: yes, 2020
Using a variational technique and inequality of Hardy-Rellich, we prove the existence of infinitely many eigencurve sequences of the p-biharmonic operator involving a Rellich potentials. A variational formulation of the first curve (eigengraph) is given.
A. E. Khalil   +3 more
semanticscholar   +1 more source

Minimax theorems on C1 manifolds via Ekeland variational principle

open access: yesAbstract and Applied Analysis, Volume 2003, Issue 13, Page 757-768, 2003., 2003
We prove two minimax principles to find almost critical points of C1 functionals restricted to globally defined C1 manifolds of codimension 1. The proof of the theorems relies on Ekeland variational principle.
Mabel Cuesta
wiley   +1 more source

Boundary value problem with fractional p-Laplacian operator

open access: yesAdvances in Nonlinear Analysis, 2016
The aim of this paper is to obtain the existence of solution for the fractional p-Laplacian Dirichlet problem with mixed derivatives tDTα(|0Dtαu(t)|p-20Dtαu(t)) = f(t,u(t)), t ∈ [0,T], u(0) = u(T) = 0, where 1/p < α < 1, 1 < p < ∞ and f : [0,T] × ℝ → ℝ ...
Torres Ledesma César
doaj   +1 more source

Critical point theorems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 7, Page 429-438, 2002., 2002
Let H be a Hilbert space such that H = V ⊕ W, where V and W are two closed subspaces of H. We generalize an abstract theorem due to Lazer et al. (1975) and a theorem given by Moussaoui (1990‐1991) to the case where V and W are not necessarily finite dimensional.
H. Boukhrisse, M. Moussaoui
wiley   +1 more source

Boundary value problems of a discrete generalized beam equation via variational methods

open access: yesOpen Mathematics, 2018
The authors explore the boundary value problems of a discrete generalized beam equation. Using the critical point theory, some sufficient conditions for the existence of the solutions are obtained.
Liu Xia, Zhou Tao, Shi Haiping
doaj   +1 more source

Existence of ground state solutions for critical fractional Choquard equations involving periodic magnetic field

open access: yesAdvanced Nonlinear Studies, 2022
In this paper, we consider the following critical fractional magnetic Choquard equation: ε2s(−Δ)A∕εsu+V(x)u=εα−N∫RN∣u(y)∣2s,α∗∣x−y∣αdy∣u∣2s,α∗−2u+εα−N∫RNF(y,∣u(y)∣2)∣x−y∣αdyf(x,∣u∣2)uinRN,\begin{array}{rcl}{\varepsilon }^{2s}{\left(-\Delta )}_{A ...
Jin Zhen-Feng   +2 more
doaj   +1 more source

On the existence of solutions to a fourth‐order quasilinear resonant problem

open access: yesAbstract and Applied Analysis, Volume 7, Issue 3, Page 125-133, 2002., 2002
By means of Morse theory we prove the existence of a nontrivial solution to a superlinear p‐harmonic elliptic problem with Navier boundary conditions having a linking structure around the origin. Moreover, in case of both resonance near zero and nonresonance at +∞ the existence of two nontrivial solutions is shown.
Shibo Liu, Marco Squassina
wiley   +1 more source

Homoclinic solutions for a second-order p-Laplacian functional differential system with local condition

open access: yesAdvances in Differential Equations, 2014
By means of critical point theory and some analysis methods, the existence of homoclinic solutions for the p-Laplacian system with delay, ddt[|u′(t)|p−2u′(t)]=∇xG(t,u(t),u(t+τ))+∇yG(t−τ,u(t−τ),u(t))+e(t), is investigated.
Shiping Lu, Ming Lu
semanticscholar   +2 more sources

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