[PDF] Top 20 Multiple positive solutions for a class of Kirchhoff type equations in \(\mathbb{R}^{N}\)
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Multiple positive solutions for a class of Kirchhoff type equations in \(\mathbb{R}^{N}\)
... where a, b are positive constants, N = 1, 2, 3, has been widely investigated by many au- thors, for example [1–6], etc. But in those papers, the nonlinearity f satisfies 3-superlinear growth at infinity, ... See full document
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Existence and multiplicity of positive solutions for a class of p ( x )-Kirchhoff type equations
... p-Laplacian equations (see [43,49]) and also to the case of the p(x)-Laplacian equations (see [12, Theorem ...Brezis-Nirenberg type theorem to the case of the p(x)- Kirchhoff [50, Theorem ... See full document
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Multiplicity of nontrivial solutions for a class of nonlinear Kirchhoff-type equations
... 4. Lions, J: On some questions in boundary value problems of mathematical physics. In: Contemporary Developments in Continuum Mechanics and Partial Differential Equations. Proc. Internat. Sympos., Inst. Mat., Univ. ... See full document
12
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 ...of solutions and in the multiplicity properties of the ...of solutions as the positive parameters converge to ... See full document
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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 ...1 positive ... See full document
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Multiple positive solutions for Kirchhoff-Schrödinger-Poisson system with general singularity
... and multiple positive solutions to (.) with n = and g being critical term: g(s) = s ...Kirchhoff type problem, the authors in [] obtained multiple positive ... See full document
17
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 a Class of Kirchhoff type Equation with Nonstandard Growth
... differential equations and variational problems involving p(x)-growth conditions is a consequence of their applications, for instance, the image restoration or the motion of the so called electrorheological ... See full document
7
Multiple positive solutions to Kirchhoff equations with competing potential functions in \(\mathbb{R}^{3}\)
... Some early classical studies of Kirchhoff equations were those by Bernstein [4] and Po- hozaev [21]. Equation (1.2) received much attention after Lions [18] had proposed an ab- stract framework to the problem. In ... See full document
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On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations
... Equations of the above form are mathematical models occurring in the studies of the p-Laplace equation, generalized reaction-di ff usion theory, non-Newtonian fluid theory [7], and the turbulent flow of a gas in ... See full document
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Positive solutions for a class of nonhomogeneous Kirchhoff–Schrödinger–Poisson systems
... In order to obtain the existence of mountain-pass type critical point in Sect. 4, the boundedness of Palais–Smale sequences is crucial. But the standard arguments used to prove the boundedness of Palais–Smale ... See full document
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Multiple solutions for Kirchhoff elliptic equations in Orlicz-Sobolev spaces
... In the proof of Lemmas . and ., we get rid of the restriction that M( √ t) is convex on [, ∞ ) as in [, Theorem .], [, Lemma .], [, Lemma ], [, Lemma .], in which by this condition a ... See full document
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The existence and concentration of ground-state solutions for a class of Kirchhoff type problems in \({\mathbb{R}^{3}}\) involving critical Sobolev exponents
... proposed by Kirchhoff in [] as the existence of the classical D’Alembert wave equations for free vibration of elastic strings. Kirchhoff ’s model takes into account the changes in length of the string produced by ... See full document
28
Multiple sign-changing solutions for nonlinear fractional Kirchhoff equations
... of solutions for fractional Kirchhoff equation like ...state solutions for ...state solutions by using the monotonicity trick and the profile ...state solutions by establishing Pohozave ... See full document
21
Existence of nontrivial solutions for p-Kirchhoff type equations
... began to attract the attention of several researchers only after Lion [] had proposed an abstract framework for this problem. Perera and Zhang [] obtained a nontrivial solution of () by using the Yang index and ... See full document
9
Nehari-type ground state solutions for asymptotically periodic fractional Kirchhoff-type problems in \(\mathbb{R}^{N}\)
... Schrödinger equations. Recently, Secchi [24] obtained the existence of positive solutions by using the Nehari manifold ...a positive ground state solution of ...of solutions for ... See full document
17
On Kirchhoff Problems Involving Critical Exponent and Critical Growth
... [7] Mao, A.M. and Zhang, Z.T. (2009) Sign-Changing and Multiple Solutions of Kir- chhoff Type Problems without the P.S. Condition. Nonlinear Analysis: Theory , Methods & Applications , 70, ... See full document
12
Positive symmetric results for a weighted quasilinear elliptic system with multiple critical exponents in \(\mathbb{R}^{N}\)
... of positive solutions have been obtained with various assumptions; we would like to mention the papers by Kang [], Nyamoradi and Hsu [], Chen and Zou [] and the references therein ... See full document
21
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 of nontrivial solutions for a class of biharmonic equations with singular potential in \(\mathbb{R}^{N}\)
... In recent years, many authors have paid attention to studying the existence of nontrivial solutions for biharmonic equations (see, e.g., [1–3] and the references therein) since it was first introduced by ... See full document
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