myostatin or growth and differentiation factor 8 (gdf8), has been known as the factor causing double muscling phenotypes in which a series of mutations make the myostatin protein inactive, hence disabling it to regulate the deposition of muscle fibre. this phenotype happens with high frequency in a breed of sheep known as the texel. quantitative trait loci (qtl) studies show that a portion of t...

We study quasilinear elliptic double obstacle problems with a variable exponent growth when the right-hand side is measure. A global Calder\'{o}n-Zygmund estimate for gradient of an approximable solution obtained in terms associated obstacles and given measure, identifying minimal requirements regularity estimate.

The main objective of this paper is to study a class parabolic equation driven by double phase operator with initial-boundary value conditions. As well known, subcritical hypotheses play an important role in investigating well-posedness result and elliptic equations. highlight overcome the difficulties without assumption creates restricting domain. We firstly obtain local solution separately on...

Sustainability can achieve a balance among economic prosperity, social equity, and environmental protection to ensure the sustainable development happiness of current future generations; photovoltaic (PV) power, as clean, renewable energy, is closely related sustainability providing reliable energy supply for development. To solve problem with difficulty PV power forecasting due its strong inte...

Abstract In this paper, we study the existence of non-negative non-trivial solutions for a class double-phase problems where source term is Caratheodory function that satisfies Ambrosetti–Rabinowitz type condition in framework Sobolev–Orlicz spaces with variable exponents complete manifold. Our approach based on Nehari manifold and some variational techniques. Furthermore, Hölder ine-quality, c...