Results 71 to 80 of about 159 (128)

Pohozaev identities for a pseudo-relativistic Schrödinger operator and applications

, 2018
In this paper we prove a Pohozaev-type identity for both the problem $(-Δ+m^2)^su=f(u)$ in $\mathbb{R}^N$ and its harmonic extension to $\mathbb{R}^{N+1}_+$ when ...
Bueno, H., Pereira, G. A, Medeiros, A. H. Souza   +2 more
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The Pohozaev identity for the Spectral Fractional Laplacian

15 ...
Barrios-Cubas, Itahisa, Bonforte, Matteo, González, María del Mar, Torres-Latorre, Clara   +3 more
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Hardy inequality and Pohozaev identity for operators with boundary singularities: Some applications [PDF]

Comptes Rendus. Mathématique, 2011
We consider the Schrödinger operator A λ : = − Δ − λ /
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Nonlocal elliptic equations with mixed fractional Laplacians: stability and nonexistence results

Frontiers in Applied Mathematics and Statistics
In this study, we investigate the non-existence of solutions to the non-linear elliptic equation involving mixed fractional Laplacians: (-Δ)s1u+(-Δ)s2u=|u|p-1u in ℝn,where n ≥ 2s1, 0 < s2 < s1 < 1, and p > 1.
Akram Al-Muraqab, Cherif Zaidi, Imed Bouzida, Imed Bouzida, Imed Bouzida   +4 more
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Fractional Hadamard formulas, Pohozaev type identities and applications

, 2022
The thesis is composed of four Chapters. In the first Chapter, the boundary expression of the one-sided shape derivative of nonlocal Sobolev best constants is derived. As a simple consequence, we obtain the fractional version of the so-called Hadamard formula for the torsional rigidity and the first Dirichlet eigenvalue.
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A Pohozaev Identity on Warped Product Solitons

, 2016
Warped product metrics are a class of Riemannian metrics on cross products $B \times F$ which have been well studied and provide a rich set of examples. In this paper we consider shrinking gradient Ricci solitons which are warped product metrics. We prove that if the curvature of the metric is bounded and the base $B$ has two dimensions, the metric ...
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BEST CONSTANTS AND POHOZAEV IDENTITY FOR HARDY–SOBOLEV-TYPE OPERATORS

Communications in Contemporary Mathematics, 2013
This paper is threefold. Firstly, we reformulate the definition of the norm induced by the Hardy inequality (see [J. L. Vázquez and N. B. Zographopoulos, Functional aspects of the Hardy inequality. Appearance of a hidden energy, preprint (2011); http://arxiv.
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Ground-state solutions for fractional Kirchhoff-Choquard equations with critical growth

Advances in Nonlinear Analysis
We study the following fractional Kirchhoff-Choquard equation: a+b∫RN(−Δ)s2u2dx(−Δ)su+V(x)u=(Iμ*F(u))f(u),x∈RN,u∈Hs(RN),\left\{\begin{array}{l}\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R}}}^{N}}{\left|{\left(-\Delta )}^{\frac{s}{2}}u\right|}
Yang Jie, Chen Haibo
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On the exact multiplicity of stable ground states of non-Lipschitz semilinear elliptic equations for some classes of starshaped sets

Advances in Nonlinear Analysis, 2019
We prove the exact multiplicity of flat and compact support stable solutions of an autonomous non-Lipschitz semilinear elliptic equation of eigenvalue type according to the dimension N and the two exponents, 0 < α < β < 1, of the involved nonlinearites ...
Díaz J.I., Hernández J., Ilyasov Y.Sh.
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Integro-differential equations : regularity theory and Pohozaev identities

, 2023
The main topic of the thesis is the study of Elliptic PDEs. It is divided into three parts: (I) integro-differential equations, (II) stable solutions to reaction-diffusion problems, and (III) weighted isoperimetric and Sobolev inequalities. Integro-differential equations arise naturally in the study of stochastic processes with jumps, and are used in ...
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