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Recent Trends in Nonlinear Partial Differential Equations II: Stationary Problems
 
Edited by: James B. Serrin
Enzo L. Mitidieri University of Trieste, Trieste, Italy
Vicenţiu D. Rădulescu University of Craiova, Craiova, Romania
Recent Trends in Nonlinear Partial Differential Equations II
Softcover ISBN:  978-0-8218-9861-1
Product Code:  CONM/595
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-0993-7
Product Code:  CONM/595.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-9861-1
eBook: ISBN:  978-1-4704-0993-7
Product Code:  CONM/595.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Recent Trends in Nonlinear Partial Differential Equations II
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Recent Trends in Nonlinear Partial Differential Equations II: Stationary Problems
Edited by: James B. Serrin
Enzo L. Mitidieri University of Trieste, Trieste, Italy
Vicenţiu D. Rădulescu University of Craiova, Craiova, Romania
Softcover ISBN:  978-0-8218-9861-1
Product Code:  CONM/595
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-0993-7
Product Code:  CONM/595.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-9861-1
eBook ISBN:  978-1-4704-0993-7
Product Code:  CONM/595.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5952013; 340 pp
    MSC: Primary 35; Secondary 34; 47; 58

    This book is the second of two volumes that contain the proceedings of the Workshop on Nonlinear Partial Differential Equations, held from May 28–June 1, 2012, at the University of Perugia in honor of Patrizia Pucci's 60th birthday.

    The workshop brought together leading experts and researchers in nonlinear partial differential equations to promote research and to stimulate interactions among the participants. The workshop program testified to the wide ranging influence of Patrizia Pucci on the field of nonlinear analysis and partial differential equations.

    In her own work, Patrizia Pucci has been a seminal influence in many important areas: the maximum principle, qualitative analysis of solutions to many classes of nonlinear PDEs (Kirchhoff problems, polyharmonic systems), mountain pass theorem in the critical case, critical exponents, variational identities, as well as various degenerate or singular phenomena in mathematical physics. This same breadth is reflected in the mathematical papers included in this volume.

    The companion volume (Contemporary Mathematics, Volume 594) is devoted to evolution problems in nonlinear partial differential equations.

    Readership

    Graduate students and research mathematicians interested in nonlinear partial differential equations.

  • Table of Contents
     
     
    • Articles
    • Stefano Almi and Marco Degiovanni — On degree theory for quasilinear elliptic equations with natural growth conditions
    • David Arcoya, José Carmona and Pedro J. Martínez-Aparicio — Radial solutions for a Gelfand type quasilinear elliptic problem with quadratic gradient terms
    • Marie-Françoise Bidaut-Véron, Marta García-Huidobro and Laurent Véron — Remarks on some quasilinear equations with gradient terms and measure data
    • Lucio Boccardo — The effect of a linear term in some nonlinear elliptic equations with singular data
    • Matteo Bonforte, Gabriele Grillo and Juan Luis Vazquezo — Quantitative bounds for subcritical semilinear elliptic equations
    • Maria-Magdalena Boureanu, Benedetta Noris and Susanna Terracini — Sub and supersolutions, invariant cones and multiplicity results for $p$-Laplace equations
    • Daniele Cassani, Bernhard Ruf and Cristina Tarsi — A Moser type inequality in Zygmund spaces without boundary conditions
    • Eduardo Colorado — Existence results for some systems of coupled fractional nonlinear Schrödinger equations
    • Vittorio Coti Zelati and Margherita Nolasco — Ground states for pseudo-relativistic equations with combined power and Hartree-type nonlinearities
    • Giovanni Cupini, Paolo Marcellini and Elvira Mascolo — Local boundedness of solutions to some anisotropic elliptic systems
    • Lucio Damascelli, Francesca Gladiali and Filomena Pacella — A symmetry result for semilinear cooperative elliptic systems
    • Lorenzo D’Ambrosio and Enzo Mitidieri — An application of Kato’s inequality to quasilinear elliptic problems
    • Francesca Faraci, Antonio Iannizzotto and Csaba Varga — Multiplicity results for constrained Neumann problems
    • Alberto Farina — On the classification of entire local minimizers of the Ginzburg-Landau equation
    • Roberta Filippucci — A Liouville result on a half space
    • Marius Ghergu — Singular elliptic systems of Lane-Emden type
    • Hans-Christoph Grunau and Frédéric Robert — Uniform estimates for polyharmonic Green functions in domains with small holes
    • Giovanni Molica Bisci — Variational problems on the Sphere
    • Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu — Semilinear Neumann problems with indefinite and unbounded potential and crossing nonlinearity
    • Raffaella Servadei — Infinitely many solutions for fractional Laplace equations with subcritical nonlinearity
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5952013; 340 pp
MSC: Primary 35; Secondary 34; 47; 58

This book is the second of two volumes that contain the proceedings of the Workshop on Nonlinear Partial Differential Equations, held from May 28–June 1, 2012, at the University of Perugia in honor of Patrizia Pucci's 60th birthday.

The workshop brought together leading experts and researchers in nonlinear partial differential equations to promote research and to stimulate interactions among the participants. The workshop program testified to the wide ranging influence of Patrizia Pucci on the field of nonlinear analysis and partial differential equations.

In her own work, Patrizia Pucci has been a seminal influence in many important areas: the maximum principle, qualitative analysis of solutions to many classes of nonlinear PDEs (Kirchhoff problems, polyharmonic systems), mountain pass theorem in the critical case, critical exponents, variational identities, as well as various degenerate or singular phenomena in mathematical physics. This same breadth is reflected in the mathematical papers included in this volume.

The companion volume (Contemporary Mathematics, Volume 594) is devoted to evolution problems in nonlinear partial differential equations.

Readership

Graduate students and research mathematicians interested in nonlinear partial differential equations.

  • Articles
  • Stefano Almi and Marco Degiovanni — On degree theory for quasilinear elliptic equations with natural growth conditions
  • David Arcoya, José Carmona and Pedro J. Martínez-Aparicio — Radial solutions for a Gelfand type quasilinear elliptic problem with quadratic gradient terms
  • Marie-Françoise Bidaut-Véron, Marta García-Huidobro and Laurent Véron — Remarks on some quasilinear equations with gradient terms and measure data
  • Lucio Boccardo — The effect of a linear term in some nonlinear elliptic equations with singular data
  • Matteo Bonforte, Gabriele Grillo and Juan Luis Vazquezo — Quantitative bounds for subcritical semilinear elliptic equations
  • Maria-Magdalena Boureanu, Benedetta Noris and Susanna Terracini — Sub and supersolutions, invariant cones and multiplicity results for $p$-Laplace equations
  • Daniele Cassani, Bernhard Ruf and Cristina Tarsi — A Moser type inequality in Zygmund spaces without boundary conditions
  • Eduardo Colorado — Existence results for some systems of coupled fractional nonlinear Schrödinger equations
  • Vittorio Coti Zelati and Margherita Nolasco — Ground states for pseudo-relativistic equations with combined power and Hartree-type nonlinearities
  • Giovanni Cupini, Paolo Marcellini and Elvira Mascolo — Local boundedness of solutions to some anisotropic elliptic systems
  • Lucio Damascelli, Francesca Gladiali and Filomena Pacella — A symmetry result for semilinear cooperative elliptic systems
  • Lorenzo D’Ambrosio and Enzo Mitidieri — An application of Kato’s inequality to quasilinear elliptic problems
  • Francesca Faraci, Antonio Iannizzotto and Csaba Varga — Multiplicity results for constrained Neumann problems
  • Alberto Farina — On the classification of entire local minimizers of the Ginzburg-Landau equation
  • Roberta Filippucci — A Liouville result on a half space
  • Marius Ghergu — Singular elliptic systems of Lane-Emden type
  • Hans-Christoph Grunau and Frédéric Robert — Uniform estimates for polyharmonic Green functions in domains with small holes
  • Giovanni Molica Bisci — Variational problems on the Sphere
  • Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu — Semilinear Neumann problems with indefinite and unbounded potential and crossing nonlinearity
  • Raffaella Servadei — Infinitely many solutions for fractional Laplace equations with subcritical nonlinearity
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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