منابع مشابه
The Solvability of Concave-Convex Quasilinear Elliptic Systems Involving $p$-Laplacian and Critical Sobolev Exponent
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it is known that solutions locally belong to a slightly higher Sobolev space than assumed a priori. This self-improving property was first observed by Elcrat and Meyers in [ME] (see also [Gi] and [Str]). Their argument is based on reverse Hölder inequalities and a modification of Gehring’s lemma [Ge], which originally was developed to study the higher integrability of the Jacobian of a quasicon...
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In this article, we study the existence of positive solutions for the quasilinear elliptic system −∆pu = f(x, u, v) x ∈ Ω, −∆pv = g(x, u, v) x ∈ Ω, u = v = 0 x ∈ ∂Ω. Using degree theoretic arguments based on the degree map for operators of type (S)+, under suitable assumptions on the nonlinearities, we prove the existence of positive weak solutions.
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ژورنال
عنوان ژورنال: Tamkang Journal of Mathematics
سال: 2021
ISSN: 2073-9826,0049-2930
DOI: 10.5556/j.tkjm.53.2022.3296