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Sacco and F. The LLL-algorithm with Householder orthogonalisation in floating-point arithmetic is very efficient and highly accurate. We review approximations of the shortest lattice vector by feasible lattice reduction, in particular by block reduction, primal--dual reduction and random sampling reduction. Segment reduction performs LLL-reduction in high dimension, mostly working with a few local coordinates. Sloan and L. Spanier and K. Acta Math. Abstract Article info and citation First page References Abstract Using probabilistic methods, we prove new rigidity results for groups and pseudo-groups of diffeomorphisms of one dimensional manifolds with intermediate regularity class i.

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References A ntonov , V. Synchronization by a random signal. Papageorgiou Multiplicity theorems for resonant and superlinear nonhomogeneous elliptic equations, Topological Methods in Nonlinear Analysis 48 , tex pdf. Boureanu and D. Repovs On a p.

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Mirzapour Qualitative analysis of solutions for a class of anisotropic elliptic equations with variable exponent, Proceedings of the Edinburgh Mathematical Society 59 , tex pdf. Papageorgiou Nonlinear nonhomogeneous Robin problems with superlinear reaction term, Advanced Nonlinear Studies 16 , tex pdf.

Chorfi Continuous spectrum for some classes of p,2 -equations with linear or sublinear growth, Miskolc Math. Notes 17 , pdf. Servadei Competition phenomena for elliptic equations involving a general operator in divergence form, Analysis and Applications 15 , tex pdf.

Chorfi Handling geometric singularities by the mortar spectral element method for fourth-order problems, Electron. Differential Equations , No.

Papageorgiou Infinitely many nodal solutions for semilinear Robin problems with an indefinite linear part, Applied Mathematics Letters 64 , pdf. Alleche The inverse of the sum of set-valued mappings and applications, Numerical Functional Analysis and Optimization 38 , pdf. Papageorgiou Multiplicity theorems for nonlinear nonhomogeneous Robin problems, Revista Matematica Iberoamericana 33 , tex pdf. Repovs Positive solutions for perturbations of the Robin eigenvalue problem plus an indefinite potential, Discrete and Continuous Dynamical Systems, Series A 37 , pdf.

Papageorgiou Superlinear, noncoercive asymmetric Robin problems with indefinite, unbounded potential, Z. Repovs On a class of parametric p,2 -equations, Applied Mathematics and Optimization 75 , tex pdf. Papageorgiou Periodic solutions for time-dependent subdifferential evolution inclusions, Evolution Equations and Control Theory 6 , pdf. Stancut Perturbation effects for a singular elliptic problem with lack of compactness and critical exponent, Minimax Theory and its Applications 2 , Repovs Robin problems with indefinite linear part and competition phenomena, Communications on Pure and Applied Analysis 16 , pdf.

Repovs Sensitivity analysis for optimal control problems governed by nonlinear evolution inclusions, Advances in Nonlinear Analysis 6 , tex pdf. Molica Bisci A sharp eigenvalue theorem for fractional elliptic equations, Israel Journal of Mathematics , pdf.

## Hilbert Transforms: Volume 1 (Encyclopedia of Mathematics and its Applications)

Repovs Multiple solutions for resonant problems of the Robin p -Laplacian plus an indefinite potential, Calculus of Variations and PDEs tex pdf. Papageorgiou Robin problems near resonance at any nonprincipal eigenvalue, Results in Mathematics 71 , pdf. Papageorgiou An infinity of nodal solutions for superlinear Robin problems with an indefinite and unbounded potential, Bull. Repovs Robin problems with a general potential and a superlinear reaction, Journal of Differential Equations , pdf.

Chorfi Small perturbations of elliptic problems with variable growth, Applied Mathematics Letters 74 , pdf. Ge and J. Zhang Infinitely many positive solutions of fractional boundary value problems, Topological Methods in Nonlinear Analysis 49 , pdf. Papageorgiou Asymmetric, noncoercive, superlinear p,2 -equations, Journal of Convex Analysis 24 , tex pdf. Baraket, S.