Results 31 to 40 of about 261,695 (153)

Critical Fractional p‐Laplacian System with Negative Exponents

Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023
In this paper, we consider a class of fractional p‐Laplacian problems with critical and negative exponents. By decomposition of the Nehari manifold, the existence and multiplicity of nontrivial solutions for the above problems are established with respect to a sufficiently small parameter.
Qinghao Zhu, Jianming Qi, Baowei Feng
wiley   +1 more source

Parametric superlinear double phase problems with singular term and critical growth on the boundary

Mathematical Methods in the Applied Sciences, Volume 45, Issue 4, Page 2276-2298, 15 March 2022., 2022
In this paper, we study quasilinear elliptic equations driven by the double phase operator along with a reaction that has a singular and a parametric superlinear term and with a nonlinear Neumann boundary condition of critical growth. Based on a new equivalent norm for Musielak–Orlicz Sobolev spaces and the Nehari manifold along with the fibering ...
Ángel Crespo‐Blanco, Nikolaos S. Papageorgiou, Patrick Winkert   +2 more
wiley   +1 more source

Existence of Two Solutions for a Critical Elliptic Problem with Nonlocal Term in ℝ4

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this paper, we prove the existence of two positive solutions for a critical elliptic problem with nonlocal term and Sobolev exponent in dimension four.
Khadidja Sabri, Atika Matallah, Safia Benmansour, Mohammed El Mokhtar Ould El Mokhtar, Pasquale Vetro   +4 more
wiley   +1 more source

Majorization Properties for Certain Subclasses of Meromorphic Function of Complex Order

Complexity, Volume 2022, Issue 1, 2022., 2022
By making use of q−differential operators, many distinct subclasses of analytic and meromorphic functions have already been defined and investigated from numerous perspectives. In this article, we investigated several majorization results for the class of meromorphic univalent functions of complex order, defined by q−differential operator. Moreover, we
Neelam Khan, Muhammad Arif, Maslina Darus, Abdellatif Ben Makhlouf   +3 more
wiley   +1 more source

On the Nehari manifold for a logarithmic fractional Schrödinger equation with possibly vanishing potentials [PDF]

Mathematica Bohemica, 2021
We study a class of logarithmic fractional Schrödinger equations with possibly vanishing potentials. By using the fibrering maps and the Nehari manifold we obtain the existence of at least one nontrivial solution.
Le Cong Nhan, Xuan Truong Le
openalex   +3 more sources

Ground State Solutions for a Nonlocal System in Fractional Orlicz‐Sobolev Spaces

International Journal of Differential Equations, Volume 2022, Issue 1, 2022., 2022
We consider an elliptic system driven by the fractional a(.)‐Laplacian operator, with Dirichlet boundary conditions type. By using the Nehari manifold approach, we get a nontrivial ground state solution on fractional Orlicz–Sobolev spaces.
Hamza El-Houari, Hicham Moussa, Lalla Saâdia Chadli, Sining Zheng   +3 more
wiley   +1 more source

A geometrical view of the Nehari manifold [PDF]

Methods and Applications of Analysis, 2012
We study the Nehari manifold N associated to the boundary value problem −∆u = f(u) , u ∈ H 0 (Ω) , where Ω is a bounded regular domain in Rn. Using elementary tools from Differential Geometry, we provide a local description of N as an hypersurface of the Sobolev space H1 0 (Ω). We prove that, at any point u ∈ N , there exists an exterior tangent sphere
openaire   +2 more sources

On p‐Laplace Equations with Singular Nonlinearities and Critical Sobolev Exponent

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this paper, we deal with p‐Laplace equations with singular nonlinearities and critical Sobolev exponent. By using the Nehari manifold, Mountain Pass theorem, and Maximum principle theorem, we prove the existence of at least four distinct nontrivial solutions.
Mohammed El Mokhtar ould El Mokhtar, Andrea Scapellato   +1 more
wiley   +1 more source

Bilateral Harnack Inequalities for Stochastic Differential Equation with Multiplicative Noise

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
By constructing a coupling with unbounded time‐dependent drift, a lower bound estimate of dimension‐free Harnack inequality with power is obtained for a large class of stochastic differential equation with multiplicative noise. The key is an application of the inverse Hölder inequality.
Zihao An, Gaofeng Zong, Salah Mahmoud Boulaaras   +2 more
wiley   +1 more source