Results 11 to 20 of about 159 (128)
Existence and nonexistence of solutions for elliptic problems with multiple critical exponents
Open Mathematics, 2023 In this article, the existence and nonexistence of solutions for the quasilinear elliptic equations involving multiple critical terms under Dirichlet boundary conditions on bounded smooth domains Ω⊂RN(N≥3)\Omega \subset {R}^{N}(N\ge 3) are proved by ...
Li Yuanyuan
doaj +1 more source
A generalized Pohozaev identity and its applications
Journal of the Mathematical Society of Japan, 1990 Wei-Ming Ni, Shoji Yotsutani
exaly +3 more sources
Mathematics, 2023 We investigate a class of fractional linearly coupled Choquard systems. For the subcritical case and all critical cases, we prove the existence, nonexistence and symmetry of positive ground state solutions of systems, by using the Nehari manifold method,
Huiqin Lu, Kexin Ouyang
doaj +1 more source
A generalized fractional Pohozaev identity and applications
Advances in Calculus of Variations, 2023 Abstract We prove a fractional Pohozaev-type identity in a generalized framework and discuss its applications. Specifically, we shall consider applications to the nonexistence of solutions in the case of supercritical semilinear Dirichlet problems and regarding a Hadamard formula for the derivative of Dirichlet eigenvalues of the ...
Djitte, Sidy Moctar +2 more
openaire +3 more sources
Frontiers in Physics, 2023 In this paper, we consider the non-existence and existence of solutions for a generalized quasilinear Schrödinger equation with a Kirchhoff-type perturbation.
Guofa Li +3 more
doaj +1 more source
A refinement of the radial Pohozaev identity [PDF]
Mathematica Bohemica, 2010 Summary: In this article we produce a refined version of the classical Pohozaev identity in the radial setting. The refined identity is then compared to the original, and possible applications are discussed.
openaire +1 more source
GROUP INVARIANCE AND POHOZAEV IDENTITY IN MOSER-TYPE INEQUALITIES [PDF]
Communications in Contemporary Mathematics, 2013 We study the so-called limiting Sobolev cases for embeddings of the spaces [Formula: see text], where Ω ⊂ ℝn is a bounded domain. Differently from J. Moser, we consider optimal embeddings into Zygmund spaces: we derive related Euler–Lagrange equations, and show that Moser's concentrating sequences are the solutions of these equations and thus realize ...
D. Cassani, B. Ruf, C. Tarsi
openaire +3 more sources
On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential
Studies in Applied Mathematics, Volume 150, Issue 1, Page 92-118, January 2023., 2023 Abstract We consider the nonlinear Schrödinger equation with a harmonic potential in the presence of two combined energy‐subcritical power nonlinearities. We assume that the larger power is defocusing, and the smaller power is focusing. Such a framework includes physical models, and ensures that finite energy solutions are global in time.
Rémi Carles, Yavdat Il'yasov
wiley +1 more source
Health &Social Care in the Community, Volume 2023, Issue 1, 2023., 2023 Carer‐employees (CEs) are unpaid carers who are simultaneously working in paid employment. Workplace stress often compounds with caregiving stress to cause negative health effects for CEs. This analysis investigates cross‐sectional data of the 2018 Canadian General Social Survey (GSS) to determine whether CEs who experienced work interferences (WIs ...
Joy Yang +3 more
wiley +1 more source
Open Mathematics, 2022 In this article, we study two classes of Kirchhoff-type equations as follows: −a+b∫R3∣∇u∣2dxΔu+V(x)u=(Iα∗∣u∣p)∣u∣p−2u+f(u),inR3,u∈H1(R3),\left\{\begin{array}{l}-\left(a+b\underset{{{\mathbb{R}}}^{3}}{\overset{}{\int }}| \nabla u{| }^{2}{\rm{d}}x\right ...
Zhou Li, Zhu Chuanxi
doaj +1 more source