Results 21 to 30 of about 946,958 (320)
Infinitely Many Solutions of Superlinear Elliptic Equation
Abstract and Applied Analysis, 2013 Via the Fountain theorem, we obtain the existence of infinitely many solutions of the following superlinear elliptic boundary value problem: −Δu=f(x,u) in Ω,u=0 on ∂Ω, where Ω⊂ℝN (N>2) is a bounded domain with smooth boundary and f is odd in u and ...
Anmin Mao, Yang Li
doaj +1 more source
Infinitely many solutions to the Yamabe problem on noncompact manifolds [PDF]
, 2018 We establish the existence of infinitely many complete metrics with constant scalar curvature on prescribed conformal classes on certain noncompact product manifolds.
Bettiol, R., Piccione, P.
core +2 more sources
Non-Uniqueness and prescribed energy for the continuity equation [PDF]
, 2014 In this note we provide new non-uniqueness examples for the continuity equation by constructing infinitely many weak solutions with prescribed ...
Crippa, Gianluca +3 more
core +2 more sources
Infinitely many solutions for perturbed Kirchhoff type problems
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this paper, we discuss a superlinear Kirchhoff type problem where the non-linearity is not necessarily odd. By using variational and perturbative methods, we prove the existence of infinitely many solutions in the non-symmetric case.
Weibing Wang
doaj +1 more source
Rotating points for the conformal NLS scattering operator [PDF]
, 2009 We consider the nonlinear Schrodinger equation, with mass-critical nonlinearity, focusing or defocusing. For any given angle, we establish the existence of infinitely many functions on which the scattering operator acts as a rotation of this angle. Using
Carles, Rémi
core +2 more sources
INFINITELY MANY SOLUTIONS FOR A NONLOCAL PROBLEM
, 2020 Consider a class of nonlocal problems −(a− b ∫ Ω |∇u|dx)∆u = f(x, u), x ∈ Ω, u = 0, x ∈ ∂Ω, where a > 0, b > 0, Ω ⊂ R is a bounded open domain, f : Ω × R −→ R is a Carathéodory function.
Zhilong Tang, Z. Ou
semanticscholar +1 more source
Infinitely Many Solutions of Strongly Indefinite Semilinear Elliptic Systems
Boundary Value Problems, 2009 We proved a multiplicity result for strongly indefinite semilinear elliptic systems −Δu+u=±1/(1+|x|a)|v|p−2v in ℝN, −Δv+v=±1/(1+|x|b)|u|q−2u in ℝN where a and b are positive numbers ...
Kuan-Ju Chen
doaj +2 more sources
Existence of infinitely many solutions for a nonlocal problem
AIMS Mathematics, 2020 In this paper, we deal with a class of fractional Hénon equation and by using the Lyapunov-Schmidt reduction method, under some suitable assumptions, we derive the existence of infinitely many solutions, whose energy can be made arbitrarily large ...
Jing Yang
doaj +1 more source
The Lagrangian Conley Conjecture
, 2010 We prove a Lagrangian analogue of the Conley conjecture: given a 1-periodic Tonelli Lagrangian with global flow on a closed configuration space, the associated Euler-Lagrange system has infinitely many periodic solutions.
Mazzucchelli, Marco
core +3 more sources
A construction of infinitely many solutions to the Strominger system [PDF]
Journal of differential geometry, 2017 In this paper we construct explicit smooth solutions to the Strominger system on generalized Calabi-Gray manifolds, which are compact non-Kahler Calabi-Yau 3-folds with infinitely many distinct topological types and sets of Hodge numbers.
Teng Fei, Zhijie Huang, Sebastien Picard
semanticscholar +1 more source