Results 1 to 10 of about 159 (128)
Pohozaev identity for Finsler anisotropic problems
Nonlinear Differential Equations and Applications, 2023 AbstractIn this paper we derive the Pohozaev identity for quasilinear equations $$\begin{aligned} -{\text {div}}(B'(H(\nabla u))\nabla H(\nabla u))=g(x, u) \quad \text{ in }\,\, \Omega , \quad \quad {(E)} \end{aligned}$$
Luigi Montoro +2 more
exaly +2 more sources
The Pohozaev Identity for the Fractional Laplacian [PDF]
Archive for Rational Mechanics and Analysis, 2014 The sign of the boundary term in Theorem 1.9 has been ...
Xavier Ros-Oton, Joaquim Serra
exaly +6 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.
Xavier Ros-Oton +2 more
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 +5 more sources
Classification of stable solutions for non-homogeneous higher-order elliptic PDEs. [PDF]
J Inequal Appl, 2017 Under some assumptions on the nonlinearity f, we will study the nonexistence of nontrivial stable solutions or solutions which are stable outside a compact set of R n $\mathbb {R}^{n}$ for the following semilinear higher-order problem: ( − Δ ) k u = f ...
Harrabi A, Rahal B, Hamdani MK.
europepmc +2 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.
Alfred Wagner
exaly +3 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
Domain geometry and the Pohozaev identity
Electronic Journal of Differential Equations, 2005 In this paper, we investigate the boundary between existence and nonexistence for positive solutions of Dirichlet problem $Delta u + f(u) = 0$, where $f$ has supercritical growth.
Gregg Stubbendieck +3 more
doaj +2 more sources
Existence solution of a Biharmonic-type Kirchhoff-Schrödinger-Maxwell system [PDF]
Mathematics Interdisciplinary Research, 2022 This article addresses the following biharmonic type of the Kirchhoff-Schrödinger-Maxwell system;∆2 w − (a1 +b1∫RN |∇w| 2 )∆w + ηψw = q(w) in RN,−∆ψ = ηw2 in RN ...
Seyed Nasser Ahmadi, Mohsen Alimohammady
doaj +1 more source
Uniqueness and Liouville type results for radial solutions of some classes of k-Hessian equations
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We establish a uniqueness theorem and a Liouville type result for positive radial solutions of some classes of nonlinear autonomous equation with the $k$-Hessian operator. We also give some interesting qualitative properties of solutions.
Mohamed Ben Chrouda
doaj +1 more source