WebFor positive radial solutions of this problem in a (unit) ball, one is led to an ODE that still makes sense when n is a real number rather than a natural number. Precisely this problem with 2 n 4, was considered by E. Jannelli, The role played by space dimension in elliptic critical problems,J.Di↵erential Equations, 156 (1999), pp. 407–426. WebWe consider the Brezis--Nirenberg problem for the Laplacian with a singular drift for a (geodesic) ball in both $\mathbb{R}^{n}$ and $\mathbb{S}^n$, $3 \le n \le 5$. The singular drift we consider derives from a potential which is symmetric around the center of the (geodesic) ball. Here the potential is given by a parameter ($\delta$ say) times the …
The Brezis–Nirenberg problem for the Laplacian with a singular …
Web18 de jan. de 2024 · However, the above theorem ensures that for each p problem ( {\mathcal {P}}_\lambda ) still has a second solution provided \lambda is big enough. We conclude this work with an existence result à la Brezis Nirenberg [ 2] which is a consequence of our study in the limit case ( b\downarrow 0 ). Web30 de abr. de 2024 · In this paper we discuss the existence and non-existence of weak solutions to parametric fractional equations involving the square root of the Laplacian A 1 / 2 in a smooth bounded domain Ω ⊂ R n ( n ≥ 2) and with zero Dirichlet boundary conditions. Namely, our simple model is the following equation. { A 1 / 2 u = λ f ( u) u = 0 … d3 shoot-\u0027em-up
Introduction - ResearchGate
WebAbstract. We study the following Brezis-Nirenberg type critical expo-nent problem: (qu= u + u2 1 in B R; u>0 in B R; u= 0 on @B R; where B Ris a ball with radius Rin RN(N 3), >0, … Web一类椭圆型方程多重径向解和navier-stkes方程的正则解,正则方程,哈密顿正则方程,正则方程组,navier stokes方程,navier方程,正则表达式,正则表达式测试工具,java正则表达式,js正则表达式 Web13 de abr. de 2024 · In this survey, we review some old and new results initiated with the study of expansive mappings. From a variational perspective, we study the convergence analysis of expansive and almost-expansive curves and sequences governed by an evolution equation of the monotone or non-monotone type. Finally, we propose two well … bingoport.com lobby