Anul LV 2010

S T U D I A

                        UNIVERSITATIS BABEŞ-BOLYAI

                                     MATHEMATICA

                                                  4

Redacţia: 400084 Cluj-Napoca, Str. M. Kogălniceanu nr. 1 Tel: 405300

SUMAR - CONTENTS - SOMMAIRE

CRITICAL POINTS THEORY

Giovanni Anello, On the Behavior Near 0 and Near 1 of Functionals on W₀^1,p(Ω) Involving

Nonlinear Oscillating Terms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

Gabriele Bonanno and Giovanni Molica Bisci, A Remark on Perturbed Elliptic Neumann Problems . . . . 17

Maria-Magdalena Boureanu, Critical Point Methods in Degenerate Anisotropic Problems

with Variable Exponent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27

Pasquale Candito and Roberto Livrea, Infinitely Many Solution for a Nonlinear Navier Boundary Value

Problem Involving the p-Biharmonic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .41

Siegfried Carl, Combined Variational and Sub-Supersolution Approach for Multi-Valued Elliptic

Variational Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53

Giuseppina D’ Aguı and Donal O’ Regan, Infinitely Many Solutions for a Class of Elliptic

Variational-Hemivariational Inequality Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73

Francesca Faraci, A Note on the Existence of Infinitely Many Solutions for the One Dimensional

Prescribed Curvature Equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .83

Mihai Mihăilescu and Denisa Stancu-Dumitru, On a Degenerate and Singular Elliptic Equation with

Critical Exponent and Non-Standard Growth Conditions . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91

Vicenţiu Rădulescu, Remarks on a Limiting Case in the Treatment of Nonlinear Problems with

Mountain Pass Geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99

Biagio Ricceri, A Multiplicity Result for Nonlocal Problems Involving Nonlinearities

with Bounded Primitive . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .107

COMPLEX ANALYSIS

Serap Bulut, On a Class of Analytic and Multivalent Functions with Negative Coefficients Defined

by Al-Oboudi Differential Operator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115

Paula Curt, Sufficient Conditions for Univalence and Quasiconformal Extensions

in Several Complex Variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131

Zbigniew Duszynski, On S-Disconnected Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141

Gangadharan Murugusundaramoorthy, Subordination Results and Integral Means Inequalities for

k−Uniformly Starlike Functions Defined by Convolution Involving the Hurwitz-Lerch Zeta Function . . . . .155

Alina Totoi, On Inverse-Convex Meromorphic Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .167

APPROXIMATION THEORY

George A. Anastassiou and Razvan A. Mezei, Voronovskaya Type Theorems for Smooth Picard

and Gauss-Weierstrass Singular Operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175

Marius Birou, Blending Surfaces on Circular Domains Generated by Hermite Interpolation . . . . . . . . . . . 185

Barnabas Bede, Lucian Coroianu and Sorin G. Gal, Approximation and Shape Preserving Properties

of the Nonlinear Baskakov Operator of Max-Product Kind . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .193

Luisa Fermo, Weighted Convergence of Some Positive Linear Operators on the Real Semiaxis . . . .. . . . . 219

Ioan A. Rus, Fixed Point and Interpolation Point Set of a Positive Linear Operator on C(D) . . . . . . . . . . . 243

Elena Iulia Stoica, On the Combinatorial Identities of Abel-Hurwitz Type and Their Use

in Constructive Theory of Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 249

Book Reviews . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 259