B. Di Bella

ON A SEPARATION THEOREM INVOLVING THE QUASI-RELATIVE INTERIOR

We establish two separation theorems in which the classic interior is replaced by the quasi-relative interior.

An existence theorem for a class of inclusions

Abstract In this paper, we obtain a general existence theorem for a class of inclusions, which extends the result obtained in [1].

MULTIPLE SOLUTIONS FOR A QUASILINEAR ELLIPTIC VARIATIONAL SYSTEM ON STRIP-LIKE DOMAINS

We consider the quasilinear elliptic variational system \begin{alignat*} {2} -\Delta_pu\amp=\lambda F_u(x,u,v)+\mu H_u(x,u,v) \quad\amp \amp\text{in }\varOmega, \\ -\Delta_qv\amp=\lambda F_v(x,u,v)+\mu H_v(x,u,v) \amp \amp \text{in }\varOmega, \\ u\amp=v=0 \amp \amp \text{on }\partial\varOmega, \end{alignat*} where

Infinitely Many Solutions for the Dirichlet Problem Via a Variational Principle of Ricceri

\varOmega

A two-point problem for first-order systems

is a strip-like domain and

Separation Theorem Based on the Quasirelative Interior and Application to Duality Theory

\lambda

Multiple solutions for a Neumann problem involving the p(x)-Laplacian

and

Some multiplicity results for quasilinear Neumann problems

\mu

Infinitely many solutions for the Dirichlet problem involving the p-Laplacian

are positive parameters. Using a recent two-local-minima theorem and the principle of symmetric criticality, existence and multiplicity are proved under suitable conditions on

MULTIPLE SOLUTIONS FOR A DIRICHLET PROBLEM INVOLVING THE P-LAPLACIAN

F