Orbital stability for polytropic galaxies
Orbital stability of standing waves for a class of Schrödinger equations with unbounded potential.
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Origins, analysis, numerical analysis, and numerical approximation of a forward-backward parabolic problem
Origins, analysis, numerical analysis, and numerical approximation of a forward-backward parabolic problem
We consider the analysis and numerical solution of a forward-backward boundary value problem. We provide some motivation, prove existence and uniqueness in a function class especially geared to the problem at hand, provide various energy estimates, prove a priori error estimates for the Galerkin method, and show the results of some numerical computations.
Orlicz capacities and applications to some existence questions for elliptic PDEs having measure data
We study the sequence , which is solution of in an open bounded set of and on , when tends to a measure concentrated on a set of null Orlicz-capacity. We consider the relation between this capacity and the -function , and prove a non-existence result.
Orlicz capacities and applications to some existence questions for elliptic pdes having measure data
We study the sequence un, which is solution of in Ω an open bounded set of RN and un= 0 on ∂Ω, when fn tends to a measure concentrated on a set of null Orlicz-capacity. We consider the relation between this capacity and the N-function Φ, and prove a non-existence result.
Orlicz spaces, α-decreasing functions, and the Δ₂ condition
We prove some quantitatively sharp estimates concerning the Δ₂ and ∇₂ conditions for functions which generalize known ones. The sharp forms arise in the connection between Orlicz space theory and the theory of elliptic partial differential equations.
Orthogonal bipolynomials
Oscillateur quartique et méthodes semi-classiques
Oscillating Multipliers for some Eigenfunction Expansions.
Oscillation criteria for a class of nonlinear partial differential equations.
Oscillation criteria for forced nonlinear elliptic equations of arbitrary order
Oscillation criteria for half-linear partial differential equations via Picone's identity
Oscillation criteria for high order delay partial differential equations.