Recent Advances in Mathematical Analysis

This book collects selected peer reviewed papers on the topics of Nonlinear Analysis, Functional Analysis, (Korovkin-Type) Approximation Theory, and Partial Differential Equations. The aim of the volume is, in fact, to promote the connection among those different fields in Mathematical Analysis. The book celebrates Francesco Altomare, on the occasion of his 70th anniversary.

Covers some of the most innovative topics in Mathematical Analysis Includes papers by respected researchers in the field of Mathematical Analysis Promotes the interchange of ideas among researches in different areas of Mathematical Analysis

Autorentext
A nna Maria Candela Anna Maria Candela is Full Professor in Mathematical Analysis, member of the Accademia Pugliese delle Scienze (Apulian Academy of Sciences) and, currently, Vice Rector (Pro Rettore Vicario) of Università degli Studi di Bari Aldo Moro (Bari, Italy). Her fields of expertise are Variational and Topological Methods applied to the study of Nonlinear Differential Equations, in particular to geodesics and trajectories in semi-Riemannian manifolds and to quasilinear elliptic problems both in bounded and unbounded domains. Mirella Cappelletti Montano Mirella Cappelletti Montano obtained a Ph.D. in Mathematics at Università degli Studi di Bari Aldo Moro (Bari, Italy) in 2004. Currently, she is associate professor in Mathematical Analysis at the same university. Her fields of expertise are Korovkin-Type Approximation Theory, Functional Analysis, Operator Theory, Generation and Approximation of Positive Semigroups and Models in Population Dynamics.

Elisabetta Mangino Elisabetta Mangino is professor in Mathematical Analysis at the Università del Salento (Lecce, Italy). She has been interested in various topics in Functional Analysis, namely Locally Convex Spaces, Linear Chaos, Semigroups Theory and Approximation Theory. Currently, her research focuses on linear elliptic-parabolic systems of equations with unbounded coefficients or degenerate diffusion part.

Inhalt

• On Wachnicki's Generalization of the GaussWeierstrass Integral. - Generalized Subharmonic and Weakly Convex Functions. - A Strong Variant of Weyl's Theorem Under Functional Calculus and Perturbations. - Multiplication and Convolution Topological Algebras in Spaces of -Ultradifferentiable Functions of Beurling Type. - Higher Order Elliptic Equations in Generalized Morrey Spaces. - Norm and Essential Norm of Composition Operators Mapping into Weighted Banach Spaces of Harmonic Mappings. - Generalized Gaussian Estimates for Elliptic Operators with Unbounded Coefficients on Domains. - An Existence Result for Perturbed ( p, q ) ** -Quasilinear Elliptic Problems. - Weighted Composition Operators on Weighted Spaces of Banach Valued Analytic Functions. - Existence of Positive Solutions of Nonlinear Second Order Dirichlet Problems Perturbed by Integral Boundary Conditions. - A Degenerate Operator in NonDivergence Form. - Korovkin Approximation of Set-Valued Integrable Functions. - Convergence of a Class of Generalized Sampling Kantorovich Operators Perturbed by Multiplicative Noise. - A Modification of Bernstein-Durrmeyer Operators with Jacobi Weights on the Unit Interval. - On a Particular Scaling for the Prototype Anisotropic p-Laplacian. - A Deformation Theory in Augmented Spaces and Concentration Results for NLS Equations Around Local Maxima. - Some Geometric Observations on Heat Kernels of Markov Semigroups with Non-local Generators. - On Oscillatory Behavior of Third Order Half-Linear Difference Equations. - Existence of Bounded Solutions for a Weighted Quasilinear Elliptic Equation in RN. - Elliptic and Parabolic Problems for a Bessel-Type Operator. - Anisotropic ( p, q ) ** -Equations with Convex and Negative Concave Terms. - Implicit Coupled k -Generalized ** -Hilfer Fractional Differential Systems with Terminal Conditions in Banach Spaces.