[PDF] Top 20 On the existence of solutions for nonhomogeneous Schrödinger-Poisson system
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On the existence of solutions for nonhomogeneous Schrödinger-Poisson system
... since this problem is set on R . To recover the difficulty, some references use the radially symmetric function space, which possesses a compact embedding; see []. In our paper, we have the integrability of k and the ... See full document
11
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 system ... See full document
10
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 nontrivial solutions for Schrödinger-Poisson systems on bounded domains
... where F(x, u) = 0 u f (x, s) ds. Ba and He [28] considered system (1.1) with a general 4- superlinear nonlinearity f . They proved the existence of ground state solution for system (1.1) by the aid ... See full document
12
The existence of solutions to the nonhomogeneous A harmonic equation
... of solutions to the nonhomoge- neous A -harmonic equation and the obstacle ...their solutions. Then, we prove the existence and uniqueness of solutions to the Dirichlet problem for the ... See full document
13
Existence of ground state solutions to a class of fractional Schrödinger system with linear and nonlinear couplings
... the existence of positive vector solutions and vector ground state solutions via variational ...these solutions as the coupling parameter k tends to ... See full document
16
Existence and concentration of solutions for sublinear Schrodinger Poisson equations
... the existence and multiplicity of negative energy solutions for the above problem via the genus properties in critical point theory, [26] established some existence criteria to guarantee that problem ... See full document
10
Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem
... nonlinear Schrödinger differential ...the existence and uniqueness of the solutions of this equation are discussed by using new Riesz representations of linear maps and the Schrödinger fixed ... See full document
13
Existence and multiplicity of non-trivial solutions for the fractional Schrödinger–Poisson system with superlinear terms
... the system like (1.2) to describe solitary waves for nonlin- ear Schrödinger type equations and look for the existence of standing waves interacting with unknown electrostatic ...coupled ... See full document
10
Existence of solutions for a class of quasilinear Schrödinger equations on \({\mathbb{R}}\)
... the existence of solutions has been ...the existence and concentration of positive solutions as ε → for a related equation with ε ...a Schrödinger-Poisson system was ... See full document
5
Existence and multiplicity of solutions for a class of sublinear Schrödinger-Maxwell equations
... the existence and nonexistence results of () when f (u) is asymptotically linear at ...energy solutions under the condition that f (x, u) is superlinear at infinity in u by the fountain ... See full document
22
Existence, nonexistence, and multiplicity of solutions for the fractional \(p\&q\)-Laplacian equation in \(\mathbb{R}^{N}\)
... operators with 0 < s < 1 < q < p,r > 1 and sp < N, and the functions a(x), b(x), μ (x), and h(x) are nonnegative in R N . Three cases on p, q, r,m are considered: p < m < r < p ∗ s , max{p,r} ... See full document
16
The existence and nonexistence of positive solutions for fractional differential equations with nonhomogeneous boundary conditions
... In recent years, since the fractional differential equation has been widely applied in var- ious areas such as mathematics, physics, chemistry, biology, and so forth, lots of books on fractional calculus have appeared, ... See full document
24
Existence of infinitely many solutions for generalized Schrödinger-Poisson system
... energy solutions is a very classical ...the existence of infinitely many large energy solutions of ...energy solutions by the following variant ‘Ambrosetti-Rabinowitz’ type condition (AR for ... See full document
12
Existence of infinitely many solutions for coupled system of Schrödinger-Maxwell's equations
... [1] V. Benci, D. Fortunato, An eigenvalue problem for the Sch¨ ordinger- Maxwell equations ,Topol.Methods nonlinear Anal. 11(2) (1998), 283-293. [2] J. Zhang, W. Qin, F. Zhao, Existence and multiplicity of solu- ... See full document
15
Existence of multiple positive solutions for nonhomogeneous fractional Laplace problems with critical growth
... In this paper, we discuss a fractional Laplace operator version of this method compared with second order linear or quasilinear elliptic operator.. 2 we prove the existence of the first s[r] ... See full document
21
Existence of positive solutions for a Schrödinger-Poisson system with bounded potential and weighted functions in \(\mathbb{R}^{3}\)
... a system, also known as the Schrödinger-Maxwell system, arises in many fields of ...the Schrödinger-Poisson system can describe the interaction of a charged particle with its own ... 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
Three solutions for equations involving nonhomogeneous operators of p Laplace type in RN
... the existence of at least three critical ...the existence of three solutions for the Dirichlet problem involving the p-Laplace type operators which was motivated by the work of Arcoya and Carmona ... See full document
15
Multi peak solutions for a nonlinear Schrödinger Poisson system including critical growth in \(\mathbb{R}^{3}\)
... multi-bump solutions around the local minimum of the potential V ...state solutions of Schrödinger-Poisson system ...the existence of ground solutions concentrating around ... See full document
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