Analysis and topology in nonlinear differential equations
Subtitle: a tribute to Bernhard Ruf on the occasion of his 60th birthday
By: Djairo G. de Figueiredo, João Marcos do Ó, Carlos Tomei, editors
Contributors: Ruf, Bernhard, honoree; Workshop on Nonlinear Differential Equations (9th : 2012 : João Pessoa, Brazil)
Series: Progress in Nonlinear Differential Equations and Their Applications -- volume 85; Progress in nonlinear differential equations and their applications -- v.85.
Publisher: Birkhäuser/Springer
Published: 2014
Place of publication: Cham; New York
Language: eng
Number of pages: 466
ISBN-13: 9783319042138; 9783319042145
Copyright date: 2014
Subjects: Nonlinear Differential equations; Équations différentielles non linéaires; Congresses; Actes de congrès
Description: Anniversary volume dedicated to Bernhard Ruf. This volume is a collection of articles presented at the Workshop for Nonlinear Analysis held in João Pessoa, Brazil, in September 2012. The influence of Bernhard Ruf, to whom this volume is dedicated on the occasion of his 60th birthday, is perceptible throughout the collection by the choice of themes and techniques. The many contributors consider modern topics in the calculus of variations, topological methods and regularity analysis, together with novel applications of partial differential equations. In keeping with the tradition of the workshop, emphasis is given to elliptic operators inserted in different contexts, both theoretical and applied. Topics include semi-linear and fully nonlinear equations and systems with different nonlinearities, at sub- and supercritical exponents, with spectral interactions of Ambrosetti-Prodi type. Also treated are analytic aspects as well as applications such as diffusion problems in mathematical genetics and finance and evolution equations related to electromechanical devices.--
Notes: Includes bibliographical references.
Table of contents: title: Asymptotic behavior of Sobolev trace embeddings in expanding domains / E. Abreu, J.M. do Ó and E. Medeiros; title: Multiplicity of positive solutions for an obstacle problem in R / C.O. Alves and F.J.S.A. Corrêa; title: Elliptic problems in unbounded cylinders / S. Barile and A. Salvatore; title: Basic properties of ultrafunctions / V. Benci and L. Luperi Baglini; title: Multiple radial solutions at resonance for Neumann problems involving the mean extrinsic curvature operator / C. Bereanu, P. Jebelean and J. Mawhin; title: Equivariant Bifurcation in geometric variational problems / R.G. Bettiol, P. Piccione and G. Siciliano; title: W₀¹, ¹ solutions in some borderline cases of elliptic equations with degenerate coercivity / L. Boccardo and G. Croce; title: Remarks on [rho]-Laplacian problems depending on the gradient / H. Bueno and G. Ercole; title: Some weighted Inequalities of Trudinger-Moser type / M. Calanchi; title: Multiple solutions for [rho]-Laplacian type problems with an asymptotically [rho]-linear term / A.M. Candela and G. Palmieri; title: Nonlocal dynamic problems with singular nonlinearities and applications to MEMS / D. Cassani, L. Fattorusso and A. Tarsia; title: Existence and multiplicity results for some scalar fields equations / C. Cerami; title: A supercritical elliptic problem in a cylindrical shell / M. Clapp and A. Szulkin; title: The geometric microlocal analysis of generalized Kimura and Heston diffusions / C.L. Epstein and R. Mazzeo; title: On a resonant Lane-Emden problem / G. Ercole; title: A note on the existence of a positive solution for a non-autonomous Schrödinger-Poisson system / M.F. Furtado, L.A. Maia and E.S. Medeiros; title: Low energy solutions for the semiclassical limit of Schrödinger-Maxwell systems / M. Ghimenti and A.M. Micheletti; title: An abstract theorem in nonlinear analysis / A.C. Lazer and P.J. McKenna; title: Existence and nonexistence results for a Schrödinger equation with saturable nonlinearity / R. Lehrer and L.A. Maia; title: Bubble concentration on spheres for supercritical elliptic problems / F. Pacella and A. Pistoia; title: Normalized solutions for a Schrödinter-Poisson system under a Neumann condition / L. Pisani and G. Siciliano; title: On singular Liouville systems / A. Poliakovsky and G. Tarantello; title: Multiple positive solutions for a nonsymmetric elliptic problem with concave convex nonlinearity / C. Saccon; title: Nonuniqueness for the Dirichlet problem for fully nonlinear elliptic operators and the Ambrosetti-Prodi phenomenon / B. Sirakov; title: Bifurcation at isolated eigenvalues for some elliptic equations on R [superscript]N / C.A. Stuart; title: Geometric aspects of Ambrosetti-Prodi operators with Lipschitz nonlinearities / C. Tomei and A. Zaccur; title: The backward [lambda]-Lemma and Morse filtrations.