On sufficient conditions for bifurcationA new approach to bifurcation study is presented, relying on the theory of second order
optimality Nondegenerate necessary conditions of optimality for problems without normality assumptionsNondegenerate second-order necessary conditions of
optimality for general
nonlinear optimization General nonlinear impulsive control problems nonlinear problems of calculus of variations which allow for discontinuous
optimal arcs are also examined
First and Second Order Necessary Conditions of Optimality for Impulsive Control ProblemsWe present first and second order necessary conditions of
optimality for a general class
Strong Second Order Necessary Optimality ConditionsStrong Second Order Necessary
Optimality Conditions
Nonexistence of Nontrivial Weak Solutions of Some Nonlinear Inequalities with Gradient Nonlinearity of the Laplace operator and with a
nonlinear term of the form a(x) |∇(Δmu)|q + b(x)|∇u|s. We obtain
optimal a