On the location of concentration points for singularly perturbed elliptic equations
Simone Secchi, Marco Squassina
Abstract
By means of a variational identity of Pohožaev-Pucci-Serrin type for solutions of class C1 recently obtained, we give some necessary conditions for locating the concentration points for a class of quasi-linear elliptic problems in divergence form. More precisely we show that the points where the concentration occurs must be critical, either in a generalized or in the classical sense, for a suitable ground state function.
Create a lesson
Related papers
Finite-Time Blowup for Navier-Stokes with Smooth Forcing, Part II: Residual Correction via Oscillatory Pulses
Zhen Lei, Xiao Ren
Evolution Dynamics and Cauchy Problems with Quaternionic Variables and Lifting to Banach Bilateral A-Algebras
Chao Wang, Guangzhou Qin, Jibin Li
Unique continuation, nonexistence and bubbling for the critical p-Laplace equation II: the degenerate elliptic case and higher dimensions
Carlo Mercuri
Construction of entropies for cross-diffusion systems
Xiuqing Chen, Ansgar Jüngel, Mingyue Zhang
Asymptotic behavior of generic Riemann solutions to one-dimensional full compressible Navier-Stokes-Poisson equations
Xin-Xiang Bian, Jiajin Shi, Lingling Xie
Positive coexistence solutions for systems of multi-kernel Hammerstein type equations
Laura M. Fernández-Pardo, Jorge Rodríguez-López