[PDF] Top 20 Existence of solutions for the Schrödinger-Kirchhoff-Poisson systems with a critical nonlinearity
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Existence of solutions for the Schrödinger-Kirchhoff-Poisson systems with a critical nonlinearity
... concerning existence and nonexistence of solutions, multi- plicity of solutions, least energy solutions, and so on, have been reported; see for instance [–] and the references ... See full document
11
Existence and multiplicity of solutions for fractional Schödinger equation involving a critical nonlinearity
... In this paper, we investigate the fractional Schödinger equation involving a critical growth. By using the principle of concentration compactness and the variational method, we obtain some new existence ... See full document
15
Existence of nontrivial solutions to perturbed p-Laplacian system in ℝ N involving critical nonlinearity
... The main difficulty in the case above mentioned is the lack of compactness of the energy functional associated to the system (1.1) because of unbounded domain ℝ N and critical nonlinearity. To overcome this ... See full document
13
Existence of infinitely many solutions for generalized Schrödinger-Poisson system
... state solutions. In [], Huang et al. obtained the existence of at least a pair of fixed sign solutions and a pair of sign-changing solutions to system ...with critical growth and ... See full document
12
Multiplicity of solutions of perturbed Schrödinger equation with electromagnetic fields and critical nonlinearity in RN
... the existence of standing waves was obtained for > fixed and for special classes of magnetic ...the existence of various types of solutions for fixed > was proved in [] by applying minimax ... See full document
14
Existence of positive ground state solutions of Schrödinger–Poisson system involving negative nonlocal term and critical exponent on bounded domain
... the existence of solutions for the Schrödinger–Poisson sys- tem on a bounded domain, particularly, critical nonlinearity except [2, 7, ...now, Schrödinger–Poisson ... See full document
10
Least-energy sign-changing solutions for Kirchhoff–Schrödinger–Poisson systems in \(\mathbb{R}^{3}\)
... sign-changing solutions to problem ...the existence of sign-changing solution of problem ...the existence and asymptotic behavior of least-energy sign-changing solution to problem ...sign-changing ... See full document
20
Ground state solutions for a class of generalized quasilinear Schrödinger–Poisson systems
... It is easy to verify that the problem (1.5) is equivalent to problem (1.7) and the nontrivial critical points of J(v) are the nontrivial solutions of problem (1.7). Inspired by all the work described above, ... See full document
17
Positive solutions for a class of nonhomogeneous Kirchhoff–Schrödinger–Poisson systems
... where a > 0, b ≥ 0 are constants, q ≥ 0 is a parameter, and F(t) = 0 t f (s) ds. Under some appropriate assumptions on g(u) and h(x), the existence of two positive radial solutions is proved by applying ... See full document
16
Standing wave solutions of Schrödinger systems with discontinuous nonlinearity in anisotropic media
... the existence of an entire solution for a class of stationary Schr¨odinger sys- tems with subcritical discontinuous nonlinearities and lower bounded potentials that blow up at ...the critical point theory ... See full document
13
Least energy sign-changing solutions for the fractional Schrödinger–Poisson systems in \(\mathbb{R}^{3}\)
... toward systems (1.2) or similar problems, and the existence of positive, multiple, bound state, multi-bump, as well as semiclassical state solutions has been investigated; see, for example, [4, 7, 9, ... See full document
18
Least energy sign-changing solutions for Kirchhoff–Poisson systems
... the critical point theorem with parameter λ (see [24]), the authors obtained the existence of a positive solution as well as a ground state solution with q = 1 corresponding to its limit ... See full document
25
Infinitely many geometrically distinct solutions for periodic Schrödinger–Poisson systems
... convolution nonlinearity;[18, 38] for the critical growth ...of solutions for the fractional Schrödinger–Poisson ...the existence of ground state solutions and infinitely ... See full document
16
Existence and multiplicity of nontrivial solutions for Schrödinger-Poisson systems on bounded domains
... superlinear nonlinearity f . They proved the existence of ground state solution for system ...the existence of in- finitely many solutions for system ... See full document
12
Existence and multiplicity of non-trivial solutions for the fractional Schrödinger–Poisson system with superlinear terms
... fractional Schrödinger–Poisson sys- tems are not so rich as the Schrödinger–Poisson systems ...fractional Schrödinger–Poisson system with a general nonlinearity in ... See full document
10
Multiple positive solutions for Kirchhoff-Schrödinger-Poisson system with general singularity
... the existence and multiple positive solutions to ...being critical term: g(s) = s ...positive solutions to this problem. In [], the authors obtained the existence of two positive ... See full document
17
Nontrivial solutions for Schrödinger-Kirchhoff-type problem in RN
... biological systems, where u describes the pro- cess which depends on the average of itself (for example, population ...the nonlinearity have been given to obtain the existence and multiplicity of ... See full document
11
Infinitely many high energy solutions for fractional Schrödinger equations with magnetic field
... have been extensively studied, we refer the interested reader to [7–13] and the references therein. –( – iA) 2 is a magnetic Schrödinger operator, in a suitable sense, (–) s A u con- verges to –( – iA) 2 u in the ... See full document
11
Positive bound state solutions for the nonlinear Schrödinger–Poisson systems with potentials
... the existence of bound state, finite energy solution of ...mountain-pass solutions and least energy solutions to the nonlinear Schrödinger– Poisson system ... See full document
19
Existence of solutions for non necessarily cooperative systems involving Schrödinger operators
... We study the existence of a solution for a non-necessarily cooperative system of n equations involving Schrödinger operators defined on RN and we study also a limit case the Fredholm Alte[r] ... See full document
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