Variational Principle, Uniqueness and Reciprocity Theorems in Porous Piezothermoelastic with Mass Diffusion

Variational principle, uniqueness and reciprocity theorems in porous magneto-piezothermoelastic medium

The basic governing equations for an anisotropic porous magneto-piezothermoelastic medium are presented. The variational principle, uniqueness theorem and theorem of reciprocity in this model are established under the assumption of positive definiteness of magnetic and piezoelectric fields. Particular cases of interest are also deduced and compared with the known results. Subjects: Applied Math...

Critical Point Theorems and Ekeland Type Variational Principle with Applications

We introduce the notion of λ-spaces which is much weaker than cone metric spaces defined by Huang and X. Zhang 2007 . We establish some critical point theorems in the setting of λ-spaces and, in particular, in the setting of complete cone metric spaces. Our results generalize the critical point theorem proposed by Dancs et al. 1983 and the results given by Khanh and Quy 2010 to λ-spaces and con...

$(varphi_1, varphi_2)$-variational principle

In this paper we prove that if $X $ is a Banach space, then for every lower semi-continuous bounded below function $f, $ there exists a $left(varphi_1, varphi_2right)$-convex function $g, $ with arbitrarily small norm,  such that $f + g $ attains its strong minimum on $X. $ This result extends some of the  well-known varitional principles as that of Ekeland [On the variational principle,  J. Ma...

The Uniqueness and Reciprocity Theorems for Generalized Thermo-Viscoelasticity with Thermal Relaxation Times

Variational principle for general diffusion problems

We employ the Monge-Kantorovich mass transfer theory to study existence of solutions for a large class of parabolic partial differential equations. We deal with non-homogeneous nonlinear diffusion problems (of Fokker-Planck type) with time dependent coefficients. This work greatly extends the applicability of known techniques based on constructing weak solutions by approximation with time-inter...

Variational Image Denoising Approach with Diffusion Porous Media Flow

and Applied Analysis 3 The flow u(t) = S(t)g is a continuous semigroup of contractions in H−1(Ω) in this case or in L(Ω), in other situation, and the denoising effect of (6) is due to smoothing effect of S(t) on initial data, a property which is a characteristic to semigroups generated by the nonlinear operators A of the gradient type ∂φ, where φ is a convex and lower semicontinuous function. S...