Results 101 to 110 of about 160 (129)

Pohozaev identity for Finsler anisotropic problems

Nonlinear Differential Equations and Applications, 2023
AbstractIn this paper we derive the Pohozaev identity for quasilinear equations $$\begin{aligned} -{\text {div}}(B'(H(\nabla u))\nabla H(\nabla u))=g(x, u) \quad \text{ in }\,\, \Omega , \quad \quad {(E)} \end{aligned}$$
Berardino Sciunzi, Luigi Montoro
exaly   +2 more sources

Pohozaev identities for anisotropic integrodifferential operators [PDF]

Communications in Partial Differential Equations, 2017
We establish Pohozaev identities and integration by parts type formulas for anisotropic integro-differential operators of order $2s$, with $s\in(0,1)$. These identities involve local boundary terms, in which the quantity $u/d^s|_{\partialΩ}$ plays the role that $\partial u/\partialν$ plays in the second order case.
Enrico Valdinoci, Xavier Ros-Oton, Joaquim Serra   +2 more
exaly   +4 more sources

Pohozaev's Identity from a Variational Viewpoint

Journal of Mathematical Analysis and Applications, 2002
1. INTRODUCTIONIn1965S.Pohozaevpublishedapaper[5]inwhichheprovedthenonex-istenceofpositivesolutionstosomesemilinearscalarequationswithsuper-critical growth in a given starshaped domain.
exaly   +3 more sources

A generalized Pohozaev identity and its applications

Journal of the Mathematical Society of Japan, 1990
Wei-Ming Ni, Shoji Yotsutani
exaly   +3 more sources

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Pohozaev identity and Virial Theorem for the Dirac–Coulomb operator

Journal of Fixed Point Theory and Applications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Margherita Nolasco
exaly   +5 more sources

A Pohozaev identity for the fractional Hénon system [PDF]

Acta Mathematica Sinica, English Series, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Pei, Li, Feng Quan, Li, Yan
exaly   +3 more sources

The Fractional Pohozaev identity in $${\mathbb {R}}^{N}$$

Journal of Geometric Analysis
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Vincenzo Ambrosio
exaly   +2 more sources

Fractional Laplacian: Pohozaev identity and nonexistence results [PDF]

Comptes Rendus Mathematique, 2012
In this Note we present the Pohozaev identity for the fractional Laplacian. As a consequence of this identity, we prove the nonexistence of nontrivial bounded solutions to semilinear problems with supercritical nonlinearities in star-shaped domains.
Xavier Ros-Oton, Joaquim Serra
exaly   +5 more sources

Some applications of the Pohozaev identity

Journal of Mathematical Physics, 2009
We apply the Pohozaev identity to show the nonexistence of nontrivial solutions to a semilinear equation of the form (H−E)u=f(x,∣u∣)u, where E is a real constant lying on the essential spectrum of H. The self-adjoint operators H under consideration are the Schrödinger operator with Coulomb-type potentials, the Stark-like Hamiltonian, and the ...
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Pohozaev identities and their applications to nonlinear elliptic equations

SCIENTIA SINICA Mathematica, 2016
Pohozaev identity plays a very important role in proving the existence and nonexistence results for the nonlinear elliptic partial differential equations. In this review, we aim to introduce Pohozaev identity and its applications in some classical elliptic partial differential equations.
CAO DaoMin, PENG ShuangJie, WANG QingFang   +2 more
openaire   +1 more source