p-fractional Hardy–Schrödinger–Kirchhoff systems with critical nonlinearities
نویسندگان
چکیده
منابع مشابه
The Nehari Manifold for Fractional Systems Involving Critical Nonlinearities
We study the combined effect of concave and convex nonlinearities on the number of positive solutions for a fractional system involving critical Sobolev exponents. With the help of the Nehari manifold, we prove that the system admits at least two positive solutions when the pair of parameters (λ, μ) belongs to a suitable subset of R.
متن کاملExistence of Solutions to Fractional Hamiltonian Systems with Combined Nonlinearities
This article concerns the existence of solutions for the fractional Hamiltonian system −tD ∞ ` −∞D α t u(t) ́ − L(t)u(t) +∇W (t, u(t)) = 0, u ∈ H(R,R), where α ∈ (1/2, 1), L ∈ C(R,Rn ) is a symmetric and positive definite matrix. The novelty of this article is that if τ1|u| ≤ (L(t)u, u) ≤ τ2|u| and the nonlinearity W (t, u) involves a combination of superquadratic and subquadratic terms, the Ham...
متن کاملCritical fractional p-Laplacian problems with possibly vanishing potentials
Article history: Received 8 April 2015 Available online 12 August 2015 Submitted by R.G. Durán
متن کاملp-LAPLACIAN PROBLEMS WITH JUMPING NONLINEARITIES
We consider the p-Laplacian boundary value problem −(φp(u(x)) = f(x, u(x), u′(x)), a.e. x ∈ (0, 1), (1) c00u(0) + c01u ′(0) = 0, c10u(1) + c11u ′(1) = 0, (2) where p > 1 is a fixed number, φp(s) = |s|p−2s, s ∈ R, and for each j = 0, 1, |cj0|+ |cj1| > 0. The function f : [0, 1]× R2 → R is a Carathéodory function satisfying, for (x, s, t) ∈ [0, 1]× R2, ψ±(x)φp(s)− E(x, s, t) ≤ f(x, s, t) ≤ Ψ±(x)φ...
متن کاملLinear Systems with Actuator Nonlinearities
This paper applies nonlinear 3t, control techniques to linear systems with actuator nonlinearities. In [3], this was treated under the certainty equivalence assumption. The control design produces a finite dimensional measurement feedback controller which is computable online provided certain conditions are met. In this paper, we do not use certainty equivalence theory. Instead, we use the more...
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: Advances in Nonlinear Analysis
سال: 2018
ISSN: 2191-9496,2191-950X
DOI: 10.1515/anona-2018-0033