Anno Accademico 2013/2014
Insegnamento : EQUAZIONI DIFFERENZIALI
Numero di crediti : 6
Data Inizio Lezioni:
MARZO 2014
ORE 9.00


OUTLINE OF THE COURSE
CONTENT


  •  TOPOLOGICAL METHODS
    •  Brouwer Fixed Point Theorem
    • Contractible Sets
    •   Schauder Fixed Point Theorem
    • A Fixed Point Theorems for Noncompact Operators
    • Classical Solutions of PDEs, Functional Setting
    •   Classical Solutions, Applications of Fixed Point Theorems
    • Weak Solutions of PDEs, Functional Setting
    • Weak Solutions of PDEs, Applications of Fixed Point Theorems
    • STATIONARY PROBLEMS
    • Second-Order Semilinear Equations and Inequalities with Bounded Coefficients
    • Second-Order Semilinear Equations and Inequalities with Unbounded Coefficients
    • Higher Order Semilinear Equations and Inequalities with Bounded Coefficients
    • Higher Order Semilinear Equations and Inequalities with Unbounded Coefficients .
    • Second-Order Elliptic Problems with Local (Complete) Blow-up of a Solution
    • Higher Order Semilinear Inequalities with Singular Coefficients
    • Second-Order Semilinear Differential Inequalities with Critical Degeneracy
    • Semilinear Differential Inequalities with a Polyharmonic Operator .
    • Nonexistence of Solutions to Semilinear Problems in a Half-Space
    • Semilinear Inequalities in Cones
    • A Model Quasilinear Problem and Its Generalizations
    • The General Case of Quasilinear Inequalities
    • Coercive Problems
    • Problems With the Right-Hand Side Depending on the Gradient of a Solution
    • Bernstein Theorem and generalizations