In the last century many problems which arose in the science, engineer ing and technology
literature involved nonlinear complex phenomena. In many situations these natural …

The book presents a systematic and compact treatment of the qualitative theory of half-linear
differential equations. It contains the most updated and comprehensive material and …

We consider the boundary value problem (ϕp (u′))′+ λF (t, u)= 0, with p> 1, t∈(0, 1), u
(0)= u (1)= 0, and with λ> 0. The value of λ is chosen so that the boundary value problem has …

The topic of singular boundary value problems has been of substantial and rapidly growing
interest for many scientists and engineers. This book is devoted to singular boundary value …

The aim of this paper is to prove the sharp estimate on the first nontrivial eigenvalue of the p-
Laplacian on a compact Riemannian manifold with nonnegative Ricci curvature and to …

Inequalities play a fundamental rôle in all areas of mathematics and their applications.
Among several well-known inequalities, Lyapunov-type inequalities have been studied …

I used to think that the Sturm–Liouville theory of second-order ordinary differential equations
was one of the most beautiful areas of mathematics. Its simplicity, together with the power of …

The paper studies the periodic and anti-periodic eigenvalues of the one-dimensional p-
Laplacian with a periodic potential. After a rotation number function ρ (λ) has been …

This work surveys analytical methods and results for nonlinear spectral problems for
degenerate elliptic operators of the following type: J′ λ (u)= 0, which is the Euler equation …

In this work, we use variational methods to prove the existence of heteroclinic and saddle-
type solutions for a class quasilinear elliptic equations of the form− Δ Φ u+ A (x, y) V′(u)= 0 …