Variable order nonlocal Choquard problem with variable exponents

Existence of Positive Solutions for Nonlocal Fourth-Order Boundary Value Problem with Variable Parameter

By using the Krasnoselskii’s fixed point theorem and operator spectral theorem, the existence of positive solutions for the nonlocal fourth-order boundary value problem with variable parameter u 4 t B t u′′ t λf t, u t , u′′ t , 0 < t < 1, u 0 u 1 ∫1 0 p s u s ds, u ′′ 0 u′′ 1 ∫1 0 q s u ′′ s ds is considered, where p, q ∈ L1 0, 1 , λ > 0 is a parameter, and B ∈ C 0, 1 , f ∈ C 0, 1 × 0,∞ × −∞, ...

Perturbed Subcritical Dirichlet Problems with Variable Exponents

We study a class of nonhomogeneous elliptic problems with Dirichlet boundary condition and involving the p(x)-Laplace operator and powertype nonlinear terms with variable exponent. The main results of this articles establish sufficient conditions for the existence of nontrivial weak solutions, in relationship with the values of certain real parameters. The proofs combine the Ekeland variational...

Anisotropic Herz-morrey Spaces with Variable Exponents

In this paper, the authors introduce the anisotropic Herz-Morrey spaces with two variable exponents and obtain some properties of these spaces. Subsequently as an application, the authors give some boundedness on the anisotropic Herz-Morrey spaces with two variable exponents for a class of sublinear operators, which extend some known results.

Variable domains and variable relevance: interpreting phonetic exponents

Spoken language is a resource which is systematically deployed in the management of social interaction— its primary site of occurrence. The patterns and structures in language are emergent properties of and shaped by the exigencies and contingencies of social interaction. However, despite significant advances in modelling speech perception and understanding, and an increasing acknowledgment of ...

Nonlocal Dependencies via Variable Contexts