F. Cammaroto

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.

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

Existence of Three Solutions for a Degenerate Kirchhoff–Type Transmission Problem

\varOmega

Three solutions for some Dirichlet and Neumann nonlocal problems

is a strip-like domain and

MULTIPLICITY RESULTS FOR A PERTURBED NONLINEAR SCHR ¨ ODINGER EQUATION

\lambda

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

and

Multiple solutions for a Kirchhoff-type problem involving the p(x)-Laplacian operator

\mu

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

Some multiplicity results for quasilinear Neumann problems

F

On a Schrödinger–Kirchhoff-type equation involving the p(x)-Laplacian

.