The climate is a forced, dissipative, nonlinear, complex, and heterogeneous system that is
out of thermodynamic equilibrium. The system exhibits natural variability on many scales of …

In this present paper, we investigate some essential results, in particular, involving the
Nehari manifold and functional coercivity. In this sense, we attack our main result, that is, the …

Publisher Summary This chapter discusses the formulation of the main notions and results in
the theory of monotone type operators and their application to (possibly nonlinear) parabolic …

We analyze the sensitivity of a climatological model with respect to small changes in one of
the distinguished parameters: the solar constant. We start by proving the stabilization of …

We study the following eigenvalue problem of k-Hessian equation {S k (D 2 u)= λ kf (− u) in
B, u= 0 on∂ B. Global bifurcation result is established for this problem. As applications of the …

In this paper we study the Sobolev trace embedding W^1,P(Ω)\,→\,L_V^p(∂Ω), where V is
an indefinite weight. This embedding leads to a nonlinear eigenvalue problem where the …

We study stability of the nonnegative solutions of a discontinuous elliptic eigenvalue
problem relevant in several applications as for instance in climate modeling. After giving the …

In this paper, we use bifurcation method to investigate the existence and multiplicity of one-
sign solutions of the $ p $-Laplacian involving a linear/superlinear nonlinearity with zeros …

We study parameter estimation for one-dimensional energy balance models with memory
(EBMMs) given localized and noisy temperature measurements. Our results apply to a wide …

This work aims at investigating the unique existence of mild solutions of the problem for the
p-Laplacian fractional Langevin equation involving generalized fractional derivatives, which …