Sujet

Nonlinear eigenvalue problems; semilinear elliptic problems; surlinear nonlinearities; critical explosion parameter; existence results; nonexistence results; Poisson problem; ordinary differential equations; explosion time; nonlinear Dirichlet problem; isoperimetric inequalities; rearrangements; Schwarz' symmetrisation; shooting method; radially symmetric solutions; maximum principle; weight functions; nonautonomous nonlinear scalar field equations