[PDF] Top 20 Existence and multiplicity of positive solutions for a class of p ( x )-Kirchhoff type equations
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Existence and multiplicity of positive solutions for a class of p ( x )-Kirchhoff type equations
... 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 electromagnetic field ... See full document
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Existence and multiplicity of positive solutions for a class of fractional differential equations with three point boundary value conditions
... the existence of the solutions, the function of two variables f (t, x) was imposed to some ...differential equations without many preconditions by the fixed point index theory and obtain the ... See full document
19
The existence and multiplicity of positive solutions for a class of nonlocal elliptic problems
... the existence of positive solutions to ...the existence of positive solutions and the existence of n distinct solutions; see [, ... See full document
35
Existence and Multiplicity of Positive Solutions to a Class of Quasilinear Elliptic Equations in
... of positive solutions for P ∗ have been extensively studied in the recent years; see, for example, Ambrosetti et ...in P ∗ perturbed by adding a ... See full document
13
Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann boundary conditions
... the existence of positive solutions to a class of nonlocal boundary value problems of the p-Kirchhoff type ...studied p(x)-Laplacian equation with the ... See full document
11
Existence and multiplicity of solutions for a class of superlinear-Laplacian equations
... It is easy to see that if v is a solution of problem (3.34), then u = − v is a solution of problem (3.32). Since f (x, t) satisfies the conditions in Theorem 1.4, g (x,t) satisfies all the conditions in ... See full document
12
Existence and multiplicity of solutions for a p-Kirchhoff equation on \({\mathbb {R}}^{N}\)
... degenerate case. Furthermore, our assumption on the potential V is totally different from all the previous works which were concerned with Kirchhoff-type problems to the best of our knowledge. The assumption on V is ... See full document
12
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 ... See full document
12
Existence and multiplicity of solutions for equations involving nonhomogeneous operators of p(x)-Laplace type in RN
... all x ∈ and ξ, η ∈ R N , where is a bounded domain in R N . When p(x) ≡ p and < p < , it is well known that this condition is not applicable for the p-Laplacian problems ... See full document
17
Existence of Solutions for a Class of Kirchhoff type Equation with Nonstandard Growth
... the Kirchhoff equations and the Kirchhoff systems have been considered by variational method in the case involving the p − Laplacian operator [4, 7, 8, 18, 19, ...differential equations ... See full document
7
Positive solutions of m-point multi-term fractional integral BVP involving time-delay for fractional differential equations
... the existence and multiplicity of positive solutions to a class of higher-order delayed nonlinear fractional differential equations with m-point multi-term fractional integral ... See full document
19
Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations
... The goal of this paper is to study a nonlinear elliptic equation in which the divergence form operator − div(a(x, ∇ u)) is involved. Such operators appear in many nonlinear dif- fusion problems, in particular in ... See full document
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EXISTENCE AND MULTIPLICITY OF WEAK SOLUTIONS FOR PERTURBED KIRCHHOFF TYPE ELLIPTIC PROBLEMS WITH HARDY POTENTIAL
... when p = 2, Wang and Shen [64] considered the problem (7), assuming that the nonlinearity has the form g(λ, x, u) = f (x, ...the existence of non- trivial solutions by using variational ... See full document
12
Existence and multiplicity of symmetric positive solutions for nonlinear boundary-value problems with p-Laplacian operator
... Boundary-value problems with integral boundary conditions for ordinary differential equations represent a very interesting and important class of problems. They include two-, three-, multi-point and nonlocal ... See full document
12
On existence and multiplicity of solutions for Kirchhoff-type equations with a nonsmooth potential
... where f is a continuous function. For example, Perera and Zhang [] derived nontrivial solutions for problem (.) with the help of the Yang index and critical groups. In [], Chen et al., by employing fibering map ... See full document
18
Existence of Solutions for Some p(x) polyharmonic Elliptic Kirchhoff Equations
... of Kirchhoff-type problems, where u u x = ( ) is the lateral displacement at the space coordinate χ and M is typically a line with positive ...of type (2) arise in the theory of bending ... See full document
16
Multiplicity of nontrivial solutions for a class of nonlinear Kirchhoff-type equations
... energy solutions of problem ...the existence and the non-existence of nontrivial solution of problem ...the existence of infinitely many high energy solutions of problem ...|u| ... See full document
12
Multiplicity and asymptotic behavior of solutions to a class of Kirchhoff type equations involving the fractional p Laplacian
... Remark 1.3 We point out here that if q = 1 in (1.1), the results in Theorem 1.2 can be seen as a part of [24]. Although the generalization in this sense is trivial, the main interest of this paper is not here, but more ... See full document
19
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
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
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