This paper deals with a class of anisotropic variable exponent Kirchhoff-type problems.
Under appropriate assumptions on the Kirchhoff function and the nonlinear terms, the …

In this paper, we study the existence of minimizers of the Sobolev quotient for a class of
nonlocal operators with an orthotropic structure having different exponents of integrability …

This manuscript explores the existence of solutions for a quasilinear nonlocal system that
incorporates the p-Laplacian operator. The system considered arise in relevant applications …

N∑ i= 1 [(a+ b∫ Ω|∂ iu| pi dx)∂ i (|∂ iu| pi− 2∂ iu)]= f (x) uγ±g (x) uq− 1 in Ω, u≥ 0 in Ω, u=
0 on∂ Ω, where Ω is a bounded regular domain in RN. We will assume without loss of …

In this paper we deal with the following singular-regular anisotropic system-L u=-∑ i= 1 N∂
i∂ iupi-2∂ iu= pvqu 1-pin Ω,-L v=-∑ i= 1 N∂ i∂ ivpi-2∂ iv= qvq-1 upin Ω, u> 0 and v> 0 in …

In this paper, we consider the following quasilinear p⟶⋅‐elliptic problems with flux boundary
conditions of the type−∑ i= 1 N∂/∂ xiaix,∂ u/∂ xi+ bxup M x− 2 u= f 1 x, u− sgn ug 1 x in …

In this paper, we prove existence of a positive solution to a one-dimensional nonlocal elliptic
problem and existence of a positive radial solution to a multidimensional nonlocal elliptic …

This paper considers a Neumann anisotropic Kirchhoff-type system depending on two real
parameters with nonstandard growth condition. By utilizing variational arguments in a …

This work is concerned with a class of anisotropic Kirchhoff-type problems involving
singularity. Under appropriate hypotheses on the nonlinear terms and the Kirchhoff function …

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