Results 71 to 80 of about 1,452,798 (281)
Infinitely many solutions for elliptic systems with critical exponents
Journal of Mathematical Analysis and Applications, 2009 AbstractOne class of critical growth elliptic systems of two equations is considered on a bounded domain. By using fountain theorem and concentration estimates, we establish the existence of infinitely many solutions in higher values of dimension N⩾7.
Pigong Han, Zhaoxia Liu
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Infinitely many positive solutions for fractional differential inclusions
Electronic Journal of Differential Equations, 2016 In this article, we study a class of fractional differential inclusions problem. By nonsmooth variational methods and the theory of the fractional derivative spaces, we establish the existence of infinitely many positive solutions of the problem under
Ge Bin, Ying-Xin Cui, Ji-Chun Zhang
doaj
Infinitely Many Periodic Solutions for Nonautonomous Sublinear Second-Order Hamiltonian Systems
Abstract and Applied Analysis, 2010 Two sequences of distinct periodic solutions for second-order Hamiltonian systems with sublinear nonlinearity are obtained by using the minimax methods.
Peng Zhang, Chun-Lei Tang
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Finitely many implies infinitely many [PDF]
Boletin de la Sociedad Matem{\' a}tica Mexicana 30:94 (2024)Many mathematical statements have the following form. If something is true for all finite subsets of an infinite set $I$, then it is true for all of $I$. This paper describes some old and new results on infinite sets of linear and polynomial equations with the property that solutions for all finite subsets of the set of equations implies the existence ...
arxiv +1 more source
Infinitely many solutions for a fourth order singular elliptic problem
, 2018 Here, a fourth order singular elliptic problem involving p-biharmonic operator with Dirichlet boundary condition is established where the exponent in the singular term is different from that in the p-biharmonic operator.
M. M. Chaharlang, A. Razani
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Infinitely Many Quasi-Coincidence Point Solutions of Multivariate Polynomial Problems
Abstract and Applied Analysis, 2013 Let F:ℝn×ℝ→ℝ be a real-valued polynomial function of the form F(x¯,y)=as(x¯)ys+as-1(x¯)ys-1+⋯+a0(x¯) where the degree s of y in F(x¯,y) is greater than 1. For arbitrary polynomial function f(x¯)∈ℝ[x¯], x¯∈ℝn, we will find a polynomial solution y(x¯)∈ℝ[x¯]
Yi-Chou Chen
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Infinitely many solutions for $2k$-th order BVP with parameters
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this paper we consider a special case of BVP for higher-order ODE, where, the linear part consists of only even-order derivatives and depends on a set of real parameters. Among many questions related to this problem we are especially interested in the
Mariusz Jurkiewicz
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Linear equations and multiplicative polynomial equations in infinitely many variables [PDF]
Communications in Algebra (2024), 1--17This paper describes infinite sets of polynomial equations in infinitely many variables with the property that the existence of a solution or even an approximate solution for every finite subset of the equations implies the existence of a solution for the infinite set of equations.
arxiv +1 more source
Infinitely many solutions for double phase problem with unbounded potential in RN
Nonlinear Analysis, 2022 Robert Stegliński
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Infinitely many weak solutions for a mixed boundary value system with $(p_1,...p_m)$-Laplacian
Electronic Journal of Qualitative Theory of Differential Equations, 2014 The aim of this paper is to prove the existence of infinitely many weak solutions for a mixed boundary value system with $(p_1,\dots,p_m)$-Laplacian. The approach is based on variational methods.
Diego Averna, Elisabetta Tornatore
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