A note on elliptic BVP with jumping nonlinearities

Abstract

Viene studiato il problema al contorno con jumping nonlinearities su un dominio limitato regolare $\Omega\subset\mathbf{R^{\textrm{n}}}$; $$-\Delta u=\lambda+u^{+}-\lambda\_u+g(u)+h\qquad\qquad in\quad\Omega$$ u=0\qquad\qquad\qquad\qquad\qquad\qquad su\quad\text{\ensuremath{\partial}}\Omega con g sublineareWe consider the boundary value problem with jumping nonlinearities on a bouded regular domain $\Omega\subset\mathbf{R^{\textrm{n}}}$; $$-\Delta u=\lambda+u^{+}-\lambda\_u+g(u)+h\qquad\qquad in\quad\Omega$$ u=0\qquad\qquad\qquad\qquad\qquad\qquad su\quad\text{\ensuremath{\partial}}\Omega with g sublinear