[PDF] Top 20 Existence and multiplicity of positive solutions for p-Kirchhoff type problem with singularity
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Existence and multiplicity of positive solutions for p-Kirchhoff type problem with singularity
... However, the singular p-Kirchhoff type problems have few been considered, especially p = , N = . Here we focus on extending the results in [] and []. In fact, the extension is nontrivial and ... See full document
17
Multiple positive solutions for Kirchhoff-Schrödinger-Poisson system with general singularity
... defined and is coercive. By using the variational method, the negative global minimum is obtained and is the unique positive solution to this problem. Based on our work [, ], recently, Mu and Lu in [] ... See full document
17
Multiplicity of solutions for elliptic problems of p-Kirchhoff type with critical exponent
... the existence and multiplicity of solutions to a class of p-Kirchhoff-type problem with Dirichlet boundary ...the existence of infinite solutions to the ... See full document
12
Existence,multiplicity, and nonexistence of solutions for a p-Kirchhoff elliptic equation on \(\mathbb{R}^{N}\)
... with a, λ , m > 0 and 1 < p < N. By variational methods we prove that problem (0.1) admits at least two solutions under appropriate assumptions on f (u) and h(x). The main difficulty to ... See full document
19
Existence of nontrivial weak solutions for p-biharmonic Kirchhoff-type equations
... the existence of weak solutions for the elliptic problem of Kirchhoff type in recent years (see, ...the p-biharmonic and generalized p-Laplacian of Kirchhoff ... See full document
17
Multiplicity of Nontrivial Solutions for Kirchhoff Type Problems
... the existence of positive solutions and infinitely many positive solutions of the problems by variational methods, respectively; Perera and Zhang 12 obtained one nontrivial ... See full document
13
Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type via genus theory
... potential V (x), which was firstly introduced in [] and is used to overcome the lack of compactness of embedding of the working space. In other words, under the weaker con- dition (V), the Sobolev embedding is not ... See full document
12
On the Existence of Solutions of a Nonlocal Elliptic Equation with a p Kirchhoff Type Term
... in problem 1.1 appears the nonlocal term Mu p 1,p motivated, among other things, by the above physical ...the p-Laplacian operator that appears in several areas of the science such as ... See full document
25
EXISTENCE AND MULTIPLICITY OF WEAK SOLUTIONS FOR PERTURBED KIRCHHOFF TYPE ELLIPTIC PROBLEMS WITH HARDY POTENTIAL
... (6) We also refer the reader to the papers [22, 39, 48] for such other fourth-order problems. On the other hand, singular elliptic problems have been intensively studied in recent years, see for example, [25, 26, 44, 55] ... See full document
12
Multiplicity of solutions for Kirchhoff-type problems involving critical growth
... the existence and multiplicity of solutions to a class of p-Kirchhoff-type problem with Dirichlet boundary ...the existence of infinite solutions to the ... See full document
14
Existence of nontrivial solutions to perturbed p-Laplacian system in ℝ N involving critical nonlinearity
... the p-Laplacian. In [12], Alves and Ding studied the same problem of [11] and obtained the multiplicity of positive solutions in bounded domain Ω ⊂ ℝ N ...subcritical ... See full document
13
Multiplicity and asymptotic behavior of solutions to a class of Kirchhoff type equations involving the fractional p Laplacian
... sequences of solutions of (1.1) converge to some functions which are nontrivial solutions of (1.5). To overcome it, we have to further estimate the mountain-pass value and local minimum carefully; see (4.3) ... See full document
19
Multiplicity of nontrivial solutions for a class of nonlinear Kirchhoff-type equations
... the problem has a positive ground state solution that the result can be viewed as a partial extension of [] where the authors studied the existence and con- centration behavior of positive ... See full document
12
Existence of three solutions for a nonlocal elliptic system of (p,q)-Kirchhoff type
... the existence of three solutions of problem ...the existence of an open interval ⊂ [, + ∞ ) and a positive real number ρ such that, for each λ ∈ , problem ...weak ... See full document
9
Existence of positive periodic solutions for Liénard equations with an indefinite singularity of attractive type
... nonautonomous singularity term of repulsive type [21–25], equations with nonautonomous singularity term of attractive type seem to receive little ...a singularity of attractive ... See full document
19
Existence and multiplicity of positive solutions for a class of p ( x )-Kirchhoff type equations
... to problem of this type is the model of motion of electrorheological fluids, which are characterized by their ability to drastically change the mechanical properties under the influence of an exterior ... See full document
16
Multiplicity of solutions for a p-Kirchhoff equation
... However, the study of problem (.) becomes more difficult since M is a general func- tion. Alves et al. [] and Corrêa and Figueiredo [] showed that the problem has a positive solution by the ... See full document
16
Existence and multiplicity of solutions for a p-Kirchhoff equation on \({\mathbb {R}}^{N}\)
... Before stating our main results, we introduce some function spaces and then present two embedding theorems, which is important to investigating our problem. For any s ∈ (1, +∞) and any continuous function K(x) : R ... See full document
12
On existence and multiplicity of solutions for Kirchhoff-type equations with a nonsmooth potential
... Inspired by the above results, a natural question arises: what will happen when the po- tential function f is discontinuous in problem (.)? This is the main point of interest in our paper to study. For this ... See full document
18
Existence of Positive Solutions for a Coupled System of Kirchhoff Type Equations with Sobolev Critical Exponent
... 1 positive solutions. Recently, the existence of multiple positive solutions for the p-q-Laplacian system with critical nonlinearities has been received much ...the ... See full document
13
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