Solutions to an anisotropic system via sub-supersolution method and Mountain Pass Theorem
نویسندگان
چکیده
منابع مشابه
Geometric Analysis and the Mountain Pass Theorem
These notes are designed to serve as a template of a LaTeX article. In the process we will describe some notions of Geometric Analysis pertaining to the Mountain Pass Theorem. Little attempt was made to be a publishable set of notes, but instead to provide examples of commonly used commands, environments, and symbols in LaTeX.
متن کاملA Mountain Pass Theorem for a Suitable Class of Functions
The main purpose of this paper is to establish a three critical points result without assuming the coercivity of the involved functional. To this end, a mountain-pass theorem, where the usual Palais-Smale condition is not requested, is presented. These results are then applied to prove the existence of three solutions for a two-point boundary value problem with no asymptotic conditions.
متن کاملOn the Profile of the Changing Sign Mountain Pass Solutions for an Elliptic Problem
We consider nonlinear elliptic equations with small diffusion and Dirichlet boundary conditions. We construct changing sign solutions with peaks close to the boundary and consider the location of the peak.
متن کاملAn Existence Result for Periodic Solutions via Miranda’s Theorem
In this paper one proves an existence theorem for the bilocal boundary value problem ẋ = f (t, x) , x (0) = x (T ) , by using a known theorem of Miranda, theorem which gives rise suficient conditions for an operator F defined in a finite dimensional space to admit al least one zero. Mathematics Subject Classifications AMS (2000): 24B16, 34C25.
متن کاملA Subsolution-supersolution Method for Quasilinear Systems
Assuming that a system of quasilinear equations of gradient type admits a strict supersolution and a strict subsolution, we show that it also admits a positive solution.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2019
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2019.1.46