Curriculum
Mutuazione: 20410756 AM420 - EQUAZIONI ALLE DERIVATE PARZIALI in Matematica LM-40 BATTAGLIA LUCA, BESSI UGO
Programme
Calculus in Banach spaces, derivation, Implicit Function Theorem;Bifurcation theorem, Ljapunov-Schmidt method;
Energy-minimizing solutions, coercivity, lower semi-continuity;
Saddle point solutions, Mountain Pass Theorem;
Topological degree, Linking Theorems;
Ljusternik-Schnirelmann Category, existence of infinitely many solutions.
Core Documentation
A. Ambrosetti, A. Malchiodi - "Nonlinear Analysis and Semilinear Elliptic Problem" - CambridgeP. Rabinowitz - "Minimax methods in critical point theory with application to differential equations" - American Mathematical Society
Type of delivery of the course
Lectures.Type of evaluation
Oral with a seminar and questions about the course's program.Mutuazione: 20410756 AM420 - EQUAZIONI ALLE DERIVATE PARZIALI in Matematica LM-40 BATTAGLIA LUCA, BESSI UGO
Programme
Some techniques of Nonlinear Analysis.Core Documentation
P. Rabinowitz, Minimax methods in critical point theory with applications to differential equations.Type of delivery of the course
Many lessons.Type of evaluation
Written and oral examination.Mutuazione: 20410756 AM420 - EQUAZIONI ALLE DERIVATE PARZIALI in Matematica LM-40 BATTAGLIA LUCA, BESSI UGO
Programme
Calculus in Banach spaces, derivation, Implicit Function Theorem;Bifurcation theorem, Ljapunov-Schmidt method;
Energy-minimizing solutions, coercivity, lower semi-continuity;
Saddle point solutions, Mountain Pass Theorem;
Topological degree, Linking Theorems;
Ljusternik-Schnirelmann Category, existence of infinitely many solutions.
Core Documentation
A. Ambrosetti, A. Malchiodi - "Nonlinear Analysis and Semilinear Elliptic Problem" - CambridgeP. Rabinowitz - "Minimax methods in critical point theory with application to differential equations" - American Mathematical Society
Type of delivery of the course
Lectures.Type of evaluation
Oral with a seminar and questions about the course's program.Mutuazione: 20410756 AM420 - EQUAZIONI ALLE DERIVATE PARZIALI in Matematica LM-40 BATTAGLIA LUCA, BESSI UGO
Programme
Some techniques of Nonlinear Analysis.Core Documentation
P. Rabinowitz, Minimax methods in critical point theory with applications to differential equations.Type of delivery of the course
Many lessons.Type of evaluation
Written and oral examination.Mutuazione: 20410756 AM420 - EQUAZIONI ALLE DERIVATE PARZIALI in Matematica LM-40 BATTAGLIA LUCA, BESSI UGO
Programme
Calculus in Banach spaces, derivation, Implicit Function Theorem;Bifurcation theorem, Ljapunov-Schmidt method;
Energy-minimizing solutions, coercivity, lower semi-continuity;
Saddle point solutions, Mountain Pass Theorem;
Topological degree, Linking Theorems;
Ljusternik-Schnirelmann Category, existence of infinitely many solutions.
Core Documentation
A. Ambrosetti, A. Malchiodi - "Nonlinear Analysis and Semilinear Elliptic Problem" - CambridgeP. Rabinowitz - "Minimax methods in critical point theory with application to differential equations" - American Mathematical Society
Type of delivery of the course
Lectures.Type of evaluation
Oral with a seminar and questions about the course's program.Mutuazione: 20410756 AM420 - EQUAZIONI ALLE DERIVATE PARZIALI in Matematica LM-40 BATTAGLIA LUCA, BESSI UGO
Programme
Some techniques of Nonlinear Analysis.Core Documentation
P. Rabinowitz, Minimax methods in critical point theory with applications to differential equations.Type of delivery of the course
Many lessons.Type of evaluation
Written and oral examination.