This monograph presents fundamental methods and topics in nonlinear analysis and their
efficient application to nonlinear boundary value problems for elliptic equations. The book is …

We consider a nonlinear Robin problem driven by a nonlinear, nonhomogeneous
differential operator, and with a Carathéodory reaction term which is (p-1)-superlinear …

We consider a parametric nonlinear Robin problem driven by the p-Laplacian. We show that
if the parameter λ> λ ˆ 2= the second eigenvalue of the Robin p-Laplacian, then the problem …

We consider nonlinear Neumann problems driven by a nonhomogeneous differential
operator and an indefinite potential. In this paper we are concerned with two distinct cases …

By variational methods, we provide existence results of multiple solutions for quasilinear
elliptic equations under the Neumann boundary condition. Our main result shows the …

We consider a nonlinear Neumann eigenvalue problem driven by a possibly
nonhomogeneous differential operator which incorporates as a special case the p …

We study a nonlocal Neumann problem driven by a nonhomogeneous elliptic differential
operator. The reaction term is a nonlinearity function that exhibits p-superlinear growth but …

We examine semilinear Neumann problems driven by the Laplacian plus an unbounded
and indefinite potential. The reaction is a Carathéodory function which exhibits linear growth …

We provide the existence of a positive solution for the quasilinear elliptic equation− div (a
(x,|∇ u|)∇ u)= f (x, u,∇ u) in Ω under the Dirichlet boundary condition. As a special case (a …

We consider a nonlinear, nonhomogeneous parametric elliptic Dirichlet equation driven by
the sum of ap-Laplacian and a Laplacian (so-called (p, 2)-equation) and with a nonlinearity …