Nehari Manifold for Weighted Singular Fractional p-Laplace Equations

JVC Sousa, CT Ledesma, M Pigossi, J Zuo - Bulletin of the Brazilian …, 2022 - Springer
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 …

A variational approach for a problem involving a ψ-Hilfer fractional operator

JV da Costa Sousa, LS Tavares, CET Ledesma - 2020 - hal.science
Boundary value problems driven by fractional operators has drawn the attention of several
researchers in the last decades due to its applicability in several areas of Science and …

The Nehari manifold for a ψ-Hilfer fractional p-Laplacian

JVC Sousa, J Zuo, D O'Regan - Applicable Analysis, 2022 - Taylor & Francis
In this paper, we discuss the existence and non-existence of weak solutions to the non-
linear problem with a fractional p-Laplacian introduced by the ψ-Hilfer fractional operator, by …

Multiplicity of Solutions for Fractional-Order Differential Equations via the κ(x)-Laplacian Operator and the Genus Theory

HM Srivastava, JV da Costa Sousa - Fractal and Fractional, 2022 - mdpi.com
In this paper, we investigate the existence and multiplicity of solutions for a class of quasi-
linear problems involving fractional differential equations in the χ-fractional space H κ (x) γ …

Nehari manifold and bifurcation for a ψ‐Hilfer fractional p‐Laplacian

JVC Sousa - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
Nehari manifold and bifurcation for a ψ‐Hilfer fractional p‐Laplacian - Sousa - 2021 -
Mathematical Methods in the Applied Sciences - Wiley Online Library Skip to Article Content Skip …

-Hilfer impulsive variational problem

CET Ledesma, N Nyamoradi - Revista de la Real Academia de Ciencias …, 2023 - Springer
In this paper, we study a fractional impulsive differential equation with the (k, ψ)-Hilfer
fractional derivative operator. Some properties of the (k, ψ)-Riemann-Liouville fractional …

Variational methods to the p-Laplacian type nonlinear fractional order impulsive differential equations with Sturm-Liouville boundary-value problem

D Min, F Chen - Fractional Calculus and Applied Analysis, 2021 - degruyter.com
In this paper, we consider a class of nonlinear fractional impulsive differential equation
involving Sturm-Liouville boundary-value conditions and p-Laplacian operator. By making …

Solutions of the mean curvature equation with the Nehari manifold

JVC Sousa, DS Oliveira, LS Tavares - Computational and Applied …, 2024 - Springer
In this manuscript, it is introduced a new mean curvature operator which involves a φ-Hilfer
fractional operator (φ-HFO) and variable exponents and appropriated fractional spaces to …

Fractional Sobolev space with Riemann–Liouville fractional derivative and application to a fractional concave–convex problem

CET Ledesma, MCM Bonilla - Advances in Operator Theory, 2021 - Springer
A new fractional function space EL α [a, b] with Riemann–Liouville fractional derivative and
its related properties are established in this paper. Under this configuration, the following …

Existence of solutions for nonlinear fractional order p-Laplacian differential equations via critical point theory

N Nyamoradi, S Tersian - Fractional Calculus and Applied Analysis, 2019 - degruyter.com
Existence of solutions for nonlinear fractional order p-Laplacian differential equations via critical
point theory Skip to content Should you have institutional access? Here's how to get it ... De …