[PDF] Top 20 Existence of positive solutions for variable exponent elliptic systems

... with variable exponent has been a new and interesting ...weak solutions for differential equations with variable ...the existence of solutions for elliptic systems ... See full document

... Existence and concentration of positive solutions for P ∗ have been extensively studied in the recent years; see, for example, Ambrosetti et al. 2, 3, Cingolani and Lazzo 4, 5, Floer and Weinstein 6, ... See full document

... The existence, uniqueness and stability of positive solutions to sublinear semilinear el- liptic systems with two equations have been recently studied in ...a positive solution to ... See full document

... p-Laplacian elliptic equation with Hardy term and Hardy-Sobolev critical exponent, where the nonlinearity is (p – 1)-sublinear near zero and (p ∗ (s) – 1)-sublinear near infinity (p ∗ (s) = p(N–s) N–p is the ... See full document

... must be superlinear with respect to u at infinity. In the present paper, motivated by [] and [], we study the existence and nonexistence of positive solutions for problem () with the asymptotic ... See full document

... of solutions admitted subject to the vari- ations of parameters embedded in nonlinear ...the existence and multiplicity of positive solutions for the elliptic equations has been ... See full document

... Krasnosel’ski˘ı, Positive Solutions of Operator Equations, Noordhoff, Groningen, ...the existence of positive solutions of semilinear elliptic equations, SIAM Review ... See full document

... Inspired by the above-mentioned papers, we are concerned with the existence of positive solutions of (P). The novelties in this paper are mainly two parts. First, we just assume that the nonlinear ... See full document

... By using the mountain pass lemma, we study the existence of positive solutions for the equation −∆ux = λu|u| + ux for x ∈ Ω together with Dirichlet boundary conditions and show that for [r] ... See full document

... differential systems with the coupled integral boundary conditions were considered in [2, 3], and ...the existence and uniqueness of positive solutions by using the a priori estimate method and ... See full document

... [2] F. Cìrstea and V. Rădulescu, “Entire Solutions Blowing up at Infinity for Semilinear Elliptic Systems,” Journal de Mathématiques Pures et Appliquées, Vol. 81, No. 9, 2002, pp. 827-846. ... See full document

... Under certain assumptions on f (x, t) and g(x, t), but without the usual (AR) condition, we prove that the problem has at least one positive strong pair solution (u, v) (see Definition 1.4 below) by applying a ... See full document

... and existence of positive solutions for general nonlinear elliptic equations and systems, and that numerous related works are devoted to some of its variants, such as more general ... See full document

... the existence criteria of positive solutions to the problem ...the existence of the positive large solutions for the problem ... See full document

... anisotropic variable exponent α (x), some classical methods may not directly be applied to our ...the existence of positive solutions with necessary a priori estimate and ... See full document

... where  < q < p, μ > , f and g are non-negative functions and p ∗ = N–p Np is the critical Sobolev exponent. The property of the Nehari manifold was used to prove the existence of multiple ... See full document

... the existence of positive solutions to sublinear semilinear elliptic systems with two equations have been extensively studied, see for example, [–] and the references ...the ... See full document

... Let us point out that our system (1.1) is more general than system (1.6) considered in the aforementioned works. The goal of our paper is to obtain necessary and sufficient conditions for the existence of ... See full document

... contain existence criteria of entire explosive positive solutions to the elliptic system ...for existence extends the results ... See full document

... Tas, Existence of radial positive solutions vanishing at infinity for asymptotically homogeneous systems, Electronic ...establish existence of nontrivial positive radial solution ... See full document