[PDF] Top 20 On existence and multiplicity of solutions for Kirchhoff-type equations with a nonsmooth potential
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On existence and multiplicity of solutions for Kirchhoff-type equations with a nonsmooth potential
... In recent years, various Kirchhoff-type problems have been widely discussed by lots of authors. The Kirchhoff mode is an extension of the classical D’Alembert’s wave equation for free vibrations of elastic strings, ... See full document
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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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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 ... See full document
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Existence of Positive Solutions for a Coupled System of Kirchhoff Type Equations with Sobolev Critical Exponent
... Sun, Existence and multiplicity of solutions for nonlocal systems with Kirchhoff type, Acta Mathematicae Applicatae Sinica, 32 (2016) ...Xiao, Existence and multiplicity ... See full document
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Multiplicity and asymptotic behavior of solutions to a class of Kirchhoff type equations involving the fractional p Laplacian
... of solutions of a nonlocal problem driven by the fractional p-Laplace ...the existence of solutions and in the multiplicity properties of the ...of solutions as the positive parameters ... See full document
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Existence of nontrivial weak solutions for p-biharmonic Kirchhoff-type equations
... differential equations arise in the study of deflections of elastic beams on nonlinear elastic ...this type of equation in recent years, and we refer to [9, 13, 27] and the references ...the existence ... See full document
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Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy–Sobolev exponent and singular nonlinearity
... the existence and multiplicity of positive solu- tions to the above ...elliptic equations with critical exponent and concave-convex non- linearities; for example, see [1, 5, 13, 14, 27, 29] and the ... See full document
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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
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EXISTENCE AND MULTIPLICITY OF WEAK SOLUTIONS FOR PERTURBED KIRCHHOFF TYPE ELLIPTIC PROBLEMS WITH HARDY POTENTIAL
... the existence of non- trivial solutions by using variational methods is ...extremal solutions to biharmonic Gelfand-type equations under Steklov boundary ...the existence and ... See full document
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Existence and multiplicity of solutions for a p-Kirchhoff equation on \({\mathbb {R}}^{N}\)
... the potential V is totally different from all the previous works which were concerned with Kirchhoff-type problems to the best of our ...The potential V is not necessarily radial and can be unbounded ... See full document
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Multiplicity of solutions for Kirchhoff-type problems involving critical growth
... Such equations arise in various branches of mathematical physics and they have been the subject of extensive study in recent ...the existence of positive solutions of ... See full document
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Multiplicity of Nontrivial Solutions for Kirchhoff Type Problems
... Kirchhoff equations were Bernstein 3 and Poho zaev ...the existence of positive solutions and infinitely many positive solutions of the problems by variational methods, respectively; Perera and ... See full document
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Existence of solutions for the fractional Kirchhoff equations with sign-changing potential
... longer a pointwise identical equation. This phenomenon provokes more difficulties to overcome, which makes the study of such a class of problems particularly interesting. If the function V vanishes and R N is replaced with ... See full document
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Existence and concentration of solutions for the nonlinear Kirchhoff type equations with steep well potential
... the potential V is always assumed to be pos- itive or vanishing at ...general potential V, espe- cially the potential V can be ...the existence and concentration of nontrivial solutions ... See full document
15
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 p-Kirchhoff-type ... See full document
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On Local Existence and Blow Up of Solutions for Nonlinear Wave Equations of Higher Order Kirchhoff Type with Strong Dissipation
... u + −∆ u + a b D u + −∆ u u u = . At first, we prove the exis- tence and uniqueness of the local solution by the Banach contraction mapping principle. Then, by “Concavity” method we establish three blow-up results for ... See full document
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Existence,multiplicity, and nonexistence of solutions for a p-Kirchhoff elliptic equation on \(\mathbb{R}^{N}\)
... a nontrivial weak solution of problem (.). The proof is completed. Next, we prove that problem (.) has a mountain-pass-type solution. To overcome the difficulty of finding a bounded (PS) sequence for the ... See full document
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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 extensible ... See full document
16
Existence and multiplicity of positive solutions for p-Laplacian elliptic equations
... the existence and multiplicity of positive solutions for the p-Laplacian elliptic ...the existence and multiplicity of positive solutions for the p-Laplacian elliptic ... See full document
15
Analysis of a class of nonlinear fractional differential models generated by impulsive effects
... In this paper, we are devoted to analyzing a class of nonlinear fractional differential models generated by impulsive effects. By variational methods, we can find the range of controlled parameters to ensure the ... See full document
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