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 …

This paper is devoted to the study of the L∞-bound of solutions to the double-phase
nonlinear problem with variable exponent by the case of a combined effect of concave …

The aim of this book is to collect a set of results concerning nonlinear Schrödinger equations
in the whole space driven by fractional operators. The material presented here was mainly …

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 nonlinear elliptic equation driven by the sum of a $ p $–Laplacian and a $ q $–
Laplacian, where $1< q\leq 2\leq p<\infty $ with a $(p-1) $–superlinear Carathéodory …

In this paper, we study the existence of a nontrivial solution to the following nonlinear elliptic
boundary value problem of p-Laplacian type: where p> 1, λ∈ R1, Ω⊂ RN is a bounded …

In this paper, we prove the existence of nontrivial nonnegative solutions to a class of elliptic
equations and systems which do not satisfy the Ambrosetti–Rabinowitz (AR) condition …

In the present paper, in view of the variational approach, we consider the existence and
multiplicity of weak solutions for a class of the double phase problem− div (|∇ u| p− 2∇ u+ a …

Superlinear nonlocal fractional problems with infinitely many solutions Page 1 Nonlinearity
PAPER Superlinear nonlocal fractional problems with infinitely many solutions To cite this …

Existence and multiplicity results are obtained for superlinear p-Laplacian equations without
the Ambrosetti and Rabinowitz condition. To overcome the difficulty that the Palais–Smale …