Results 21 to 30 of about 160 (129)
Non-Degeneracy of Peak Solutions to the Schrödinger–Newton System
Advanced Nonlinear Studies, 2021 We are concerned with the following Schrödinger–Newton problem:
Guo Qing, Xie Huafei
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Finite Morse index solutions of the Hénon Lane–Emden equation
Journal of Inequalities and Applications, 2019 In this paper, we are concerned with Liouville-type theorems of the Hénon Lane–Emden triharmonic equations in whole space. We prove Liouville-type theorems for solutions belonging to one of the following classes: stable solutions and finite Morse index ...
Abdellaziz Harrabi, Cherif Zaidi
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Critical boundary constants and Pohozaev identity [PDF]
Annales de la Faculté des sciences de Toulouse : Mathématiques, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Electronic Journal of Qualitative Theory of Differential EquationsIn this paper, we consider the existence and nonexistence of solutions for a class of modified Schrödinger–Poisson system with Kirchhoff-type perturbation by use of variational methods.
Yaru Wang, Jing Zhang
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Journal of Function Spaces, 2023 This article concerns the existence and the nonexistence of solution for the following boundary problem involving the p-biharmonic operator and singular nonlinearities, Δp2u=uγ−1u+μu−1−α/xβu in Ω and u=∂u/∂n=0 on ∂Ω, where ...
Mohammed El Mokhtar Ould El Mokhtar
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On the Pohozaev identity for quasilinear Finsler anisotropic equations
, 2022 In this paper we derive the Pohozaev identity for quasilinear equations \begin{equation}\tag{$E$}\label{eq:p} -\operatorname{div}(B'(H(\nabla u))\nabla H(\nabla u))=g(x, u) \quad \text {in}\,\, Ω, \end{equation} involving the anisotropic Finsler operator $-\operatorname{div}(B'(H(\nabla u))\nabla H(\nabla u))$.
Montoro, Luigi, Sciunzi, Berardino
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UNIVERSAL PRINCIPLES FOR KAZDAN–WARNER AND POHOZAEV–SCHOEN TYPE IDENTITIES [PDF]
Communications in Contemporary Mathematics, 2013 The classical Pohozaev identity constrains potential solutions of certain semilinear PDE boundary value problems. The Kazdan–Warner identity is a similar necessary condition important for the Nirenberg problem of conformally prescribing scalar curvature on the sphere. For dimensions n ≥ 3 both identities are captured and extended by a single identity,
Gover, Rod, Orsted, Bent
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Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract In this article, we investigate the existence and multiplicity of solutions to the Robin problem −Δu=λf(u)inΩ,∂u∂ν+γu=0on∂Ω,$$\begin{equation*} {\begin{cases} -\Delta u = \lambda f(u) & \text{in } \Omega,\\ \frac{\partial u}{\partial \nu } + \gamma u=0 & \text{on } \partial \Omega, \end{cases}} \end{equation*}$$where Ω⊂RN$\Omega \subset ...
José Carmona Tapia +2 more
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Mathematische Nachrichten, Volume 299, Issue 5, Page 1004-1027, May 2026.ABSTRACT This paper investigates the existence and non‐existence and uniqueness of global solutions for certain parameter values c$c$ in a new class of generalized fractional p$p$‐Kirchhoff equations in the whole space. Using the Pohozaev and Nehari identities for an auxiliary problem, together with the fractional Gagliardo–Nirenberg inequality and the
J. Vanterler da C. Sousa +2 more
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Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2021 The aim of this paper is to present a version of the generalized Pohozaev-Schoen identity in the context of asymptotically Euclidean manifolds. Since these kind of geometric identities have proven to be a very powerful tool when analysing different geometric problems for compact manifolds, we will present a variety of applications within this new ...
R. Avalos, A. Freitas
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