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[PDF] Top 20 Least energy sign-changing solutions for Kirchhoff–Poisson systems

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Least energy sign-changing solutions for Kirchhoff–Poisson systems

Least energy sign-changing solutions for Kirchhoff–Poisson systems

... which stem from quantum mechanics and have important applications in the semicon- ductor. From the physical viewpoint, the above systems have been introduced as a physical model describing a charged wave ... See full document

25

Positive solutions for a class of nonhomogeneous Kirchhoff–Schrödinger–Poisson systems

Positive solutions for a class of nonhomogeneous Kirchhoff–Schrödinger–Poisson systems

... many solutions for the problem has been established by using the genus prop- erties in critical point ...nontrivial solutions and infinitely many high energy solutions for problem ...high ... See full document

16

Existence of least energy sign-changing solution for the nonlinear Schrödinger system with two types of nonlocal terms

Existence of least energy sign-changing solution for the nonlinear Schrödinger system with two types of nonlocal terms

... many solutions; see ...nonnegative solutions to critical Kirch- hoff problem. In addition, the systems with two types of nonlocal terms has been studied; see [, ...The sign-changing ... See full document

13

Multiple Solutions to the Problem of Kirchhoff Type Involving the Critical Caffareli Kohn Niremberg Exponent, Concave Term and Sign Changing Weights

Multiple Solutions to the Problem of Kirchhoff Type Involving the Critical Caffareli Kohn Niremberg Exponent, Concave Term and Sign Changing Weights

... has been studied by various researchers and many interesting and important results can be found. In [2], it was pointed out that the problem (1.2) models several physical systems, where u describes a process which ... See full document

12

The existence of sign-changing solution for a class of quasilinear Schrödinger–Poisson systems via perturbation method

The existence of sign-changing solution for a class of quasilinear Schrödinger–Poisson systems via perturbation method

... which has been studied extensively in recent years. The influence of the signs of parameter κ on the existence of solutions is important. For instance, Tang, Zhang, and Zhang in [44] obtained the existence of ... See full document

19

Multiplicity of solutions for a class of fractional p-Kirchhoff system with sign-changing weight functions

Multiplicity of solutions for a class of fractional p-Kirchhoff system with sign-changing weight functions

... which represent some physical meanings, respectively. Indeed, Kirchhoff ’s model takes into account the changes in length of the string produced by transverse vibrations. In par- ticular, Kirchhoff ’s equation models ... See full document

18

RETRACTED ARTICLE: Sign changing solutions to Schrödinger Kirchhoff type equations with critical exponent

RETRACTED ARTICLE: Sign changing solutions to Schrödinger Kirchhoff type equations with critical exponent

... Kirchhoff-type problems are often referred to as being nonlocal because of the presence of the integral over the entire domain , which provokes some mathematical difficulties. Similar nonlocal problems also model several ... See full document

14

Existence of solutions for the Schrödinger-Kirchhoff-Poisson systems with a critical nonlinearity

Existence of solutions for the Schrödinger-Kirchhoff-Poisson systems with a critical nonlinearity

... 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

Multiplicity results for a fractional Kirchhoff equation involving sign-changing weight function

Multiplicity results for a fractional Kirchhoff equation involving sign-changing weight function

... and they obtained the multiplicity of non-negative solutions in the subcritical case α < p ∗ s by minimizing the energy functional over non-empty decompositions of Nehari manifold. When p = , s = , a = ... See full document

16

Least energy sign-changing solutions for the fractional Schrödinger–Poisson systems in \(\mathbb{R}^{3}\)

Least energy sign-changing solutions for the fractional Schrödinger–Poisson systems in \(\mathbb{R}^{3}\)

... the solutions to fractional Schrödinger equation ...and systems were also studied, and indeed some interesting results were obtained, see [19, 45, 53–55] and references ...For sign-changing ... See full document

18

Least-energy sign-changing solutions for Kirchhoff–Schrödinger–Poisson systems in \(\mathbb{R}^{3}\)

Least-energy sign-changing solutions for Kirchhoff–Schrödinger–Poisson systems in \(\mathbb{R}^{3}\)

... find sign-changing solutions to problem ...of sign-changing solution of problem ...of least-energy sign-changing solution to problem ...on ... See full document

20

Multiple sign-changing solutions for nonlinear fractional Kirchhoff equations

Multiple sign-changing solutions for nonlinear fractional Kirchhoff equations

... of solutions, ground state solutions, semiclassical state solutions, positive and negative solutions, high energy and least energy solutions, and ... See full document

21

Sign-Changing and Extremal Constant-Sign Solutions of Nonlinear Elliptic Neumann Boundary Value Problems

Sign-Changing and Extremal Constant-Sign Solutions of Nonlinear Elliptic Neumann Boundary Value Problems

... The motivation of our study is a recent paper of the author in 1 in which problem 1.1 was treated in case a b. We extend this approach and prove the existence of multiple solutions for the more general problem ... See full document

22

Sign-changing solutions for asymptotically linear operator equations and applications

Sign-changing solutions for asymptotically linear operator equations and applications

... Let E be a real Banach space. Given a cone P ⊂ E, we define a partial ordering ≤ with respect to P by x ≤ y iff y – x ∈ P. A cone P is said to be normal if there exists a constant N >  such that θ ≤ x ≤ y implies x ≤ N ... See full document

14

Sign Changing Solutions for Discrete Dirichlet Boundary Value Problem

Sign Changing Solutions for Discrete Dirichlet Boundary Value Problem

... the sign-changing solutions is a very important research field both in differential equations and difference ...the sign-changing solu- tions for differential equations, many scholars ... See full document

16

Nontrivial solutions of inverse discrete problems with sign changing nonlinearities

Nontrivial solutions of inverse discrete problems with sign changing nonlinearities

... The paper is scheduled as follows: In the next section we deduce the main properties of the kernel G. Section 3 is devoted to nonlinear problem (2). In it, under suitable as- sumptions on the nonlinearity f , which is ... See full document

16

Ground state sign-changing solutions for semilinear Dirichlet problems

Ground state sign-changing solutions for semilinear Dirichlet problems

... Remark 1.4 In [3], Bartsch et al. obtained the existence of sign-changing solutions of (1.1) under (F1), (F2), (F3), and (AR) by using variational methods and invariant sets of descent flow. However, ... See full document

11

Radial sign-changing solutions to biharmonic nonlinear Schrödinger equations

Radial sign-changing solutions to biharmonic nonlinear Schrödinger equations

... of sign- changing solutions, sometimes called nodal ...three solutions, including a nodal one, for a second-order problem in a bounded domain and with Dirichlet boundary ...nodal ... See full document

17

Sign-changing solutions for some nonlinear problems with strong resonance

Sign-changing solutions for some nonlinear problems with strong resonance

... Proof of Theorem 1.2 Since g(0) = 0, u(x) = 0 is a solution of (1.3). In this case, we are interested in finding the existence of sign-changing solutions to problem (1.3). The case g(t) = 0, ∀ t Î ℝ ... See full document

9

The eigenvalues and sign changing solutions of a fractional boundary value problem

The eigenvalues and sign changing solutions of a fractional boundary value problem

... We shall organize the rest of this paper as follows. In Section , some basic definitions and preliminaries are given. Furthermore the eigenvalues and its algebraic multiplicities of (.) are considered. In Section , ... See full document

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