Search results for "Mathematical analysis"
showing 10 items of 2409 documents
La singularité de O’Grady
2006
Let M 2 v M_{2v} be the moduli space of semistable sheaves with Mukai vector 2 v 2v on an abelian or K 3 K3 surface where v v is primitive such that ⟨ v , v ⟩ = 2 \langle v,v \rangle =2 . We show that the blow-up of the reduced singular locus of M 2 v M_{2v} provides a symplectic resolution of singularities. This provides a direct description of O’Grady’s resolutions of M K 3 ( 2 , 0 , 4 ) M_{K3}(2,0,4) and M A b ( 2 , 0 , 2 ) M_{Ab}(2,0,2) . Résumé. Soit M 2 v M_{2v} l’espace de modules des faisceaux semi-stables de vecteur de Mukai 2 v 2v sur une surface K 3 K3 ou abélienne où v v est primitif tel que ⟨ v , v ⟩ = 2 \langle v,v \rangle =2 . Nous montrons que l’éclatement de M 2 v M_{2v} le…
Ordinary (p1,…,pm)-Laplacian systems with mixed boundary value conditions
2016
Abstract In this paper we prove the existence of multiple weak solutions for an ordinary mixed boundary value system with ( p 1 , … , p m )-Laplacian by using recent results of critical points.
Harnack's inequality for p-harmonic functions via stochastic games
2013
We give a proof of asymptotic Lipschitz continuity of p-harmonious functions, that are tug-of-war game analogies of ordinary p-harmonic functions. This result is used to obtain a new proof of Lipsc...
Multiplicity of solutions to a nonlinear boundary value problem of concave–convex type
2015
Abstract Problem (P) { − Δ p u + | u | p − 2 u = | u | r − 1 u x ∈ Ω | ∇ u | p − 2 ∂ u ∂ ν = λ | u | s − 1 u x ∈ ∂ Ω , where Ω ⊂ R N is a bounded smooth domain, ν is the unit outward normal at ∂ Ω , Δ p is the p -Laplacian operator and λ > 0 is a parameter, was studied in Sabina de Lis (2011) and Sabina de Lis and Segura de Leon (in press). Among other features, it was shown there that when exponents lie in the regime 1 s p r , a minimal positive solution exists if 0 λ ≤ Λ , for a certain finite Λ , while no positive solutions exist in the complementary range λ > Λ . Furthermore, in the radially symmetric case a second positive solution exists for λ varying in the same full range ( 0 , Λ ) …
Relations between natural and observable measures
2005
We give a complete description of relations between observable and natural measures in connection with invariance, ergodicity and absolute continuity.
Boundary correspondence of Nevanlinna counting functions for self-maps of the unit disc
2003
Let ϕ \phi be a holomorphic self-map of the unit disc D \mathbb {D} . For every α ∈ ∂ D \alpha \in \partial \mathbb {D} , there is a measure τ α \tau _\alpha on ∂ D \partial \mathbb {D} (sometimes called Aleksandrov measure) defined by the Poisson representation Re ( α + ϕ ( z ) ) / ( α − ϕ ( z ) ) = ∫ P ( z , ζ ) d τ α ( ζ ) \operatorname {Re}(\alpha +\phi (z))/(\alpha -\phi (z)) = \int P(z,\zeta ) \,d\tau _\alpha (\zeta ) . Its singular part σ α \sigma _\alpha measures in a natural way the “affinity” of ϕ \phi for the boundary value α \alpha . The affinity for values w w inside D \mathbb {D} is provided by the Nevanlinna counting function N ( w ) N(w) of ϕ \phi . We introduce a natural …
Remarks on iteration of formal automorphisms
1988
Etude de l'iteration des automorphismes formels. Generalisation et interpretation d'un critere de Reich-Schwaiger
Absolutely continuous functions and differentiability in Rn
2002
Abstract We relativize the notion of absolute continuity of functions in R n , due to Rado, Reichelderfer and Malý, to subsets of R n and use it to characterize functions (possibly vector valued) differentiable almost everywhere.
Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation
2014
Abstract We establish some fixed point theorems by introducing two new classes of contractive mappings in Menger PM-spaces. First, we prove our results for an α - ψ -type contractive mapping and then for a generalized β -type contractive mapping. Some examples and an application to Volterra type integral equation are given to support the obtained results.
Existence and gap-bifurcation of multiple solutions to certain nonlinear eigenvalue problems
1993
IN THIS PAPER we study: (i) a class of operator equations in an abstract Hilbert space; and (ii) the L2-theory of certain nonlinear Schrodinger equations which can be viewed as special cases of (i). In order to describe the type of abstract nonlinear eigenvalue problems to be discussed, consider a real Hilbert space H with scalar product (* , *) and norm II.11 and let S be a (not necessarily bounded) positive self-adjoint linear operator in li. We write S in the form