Publication: A note on elliptic BVP with jumping nonlinearities
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Date
1983
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Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
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 sublineare
We 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.
We 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.
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Citation
Sergio Solimini, "A note on elliptic BVP with jumping nonlinearities", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 15 (1983), pp. 83-88.