Results 21 to 30 of about 685 (102)
On Coron's problem for the p-Laplacian [PDF]
, 2014 We prove that the critical problem for the $p$-Laplacian operator admits a nontrivial solution in annular shaped domains with sufficiently small inner hole.
Mercuri, Carlo +2 more
core +1 more source
Generic singularities of minimax solutions to Hamilton--Jacobi equations [PDF]
, 2004 Minimax solutions are weak solutions to Cauchy problems involving Hamilton--Jacobi equations, constructed from generating families quadratic at infinity of their geometric solutions.
Capitanio, Gianmarco
core +3 more sources
Species survival versus eigenvalues
Abstract 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
International 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
Boundary value problem with fractional p-Laplacian operator
Advances 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
Homoclinic orbits for second order Hamiltonian systems with asymptotically linear terms at infinity
Advances in Differential Equations, 2014 In this paper, by using some different asymptotically linear conditions from those previously used in Hamiltonian systems, we obtain the existence of nontrivial homoclinic orbits for a class of second order Hamiltonian systems by the variational method ...
Guanwei Chen
semanticscholar +1 more source
Minimax theorems on C1 manifolds via Ekeland variational principle
Abstract 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
Advances 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
Boundary value problems of a discrete generalized beam equation via variational methods
Open 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
Advanced 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