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[PDF] Top 20 Multiplicity of solutions for elliptic problems of p-Kirchhoff type with critical exponent

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Multiplicity of solutions for elliptic problems of p-Kirchhoff type with critical exponent

Multiplicity of solutions for elliptic problems of p-Kirchhoff type with critical exponent

... considering the effects of the changes in the length of the strings during the vibrations. The equation (.) is related to the stationary analog of problem (.). Equation (.) received much attention only after Lions ... See full document

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Existence and multiplicity of positive solutions for p-Kirchhoff type problem with singularity

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 ... See full document

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Multiplicity of solutions for a quasilinear elliptic equation with \((p,q)\)-Laplacian and critical exponent on \(\mathbb{R}^{N}\)

Multiplicity of solutions for a quasilinear elliptic equation with \((p,q)\)-Laplacian and critical exponent on \(\mathbb{R}^{N}\)

... and related sciences, such as biophysics, chemical reaction and plasma physics. In such applications, the function u describes a concentration, the first term on the right-hand side of (1.2) corresponds to the diffusion ... See full document

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Nontrivial solutions for discrete Kirchhoff type problems with resonance via critical groups

Nontrivial solutions for discrete Kirchhoff type problems with resonance via critical groups

... and multiplicity of nontrivial solutions for problem ...theory, critical groups, Morse theory and so ...nontrivial solutions of a discrete Kirchhoff-type resonance problem which is an ... See full document

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On Kirchhoff Problems Involving Critical Exponent and Critical Growth

On Kirchhoff Problems Involving Critical Exponent and Critical Growth

... the multiplicity, certain chemical reactions in tubular reactors can be mathematically described by a nonlinear two-point boundary-value problem and one is interested if multiple steady-states exist, for a recent ... See full document

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Existence of three solutions for a nonlocal elliptic system of (p,q)-Kirchhoff type

Existence of three solutions for a nonlocal elliptic system of (p,q)-Kirchhoff type

... three solutions of problem (.) by applying the three critical points theorem established by Ricceri ...weak solutions whose norms in X are less than ... See full document

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Existence,multiplicity, and nonexistence of solutions for a p-Kirchhoff elliptic equation on \(\mathbb{R}^{N}\)

Existence,multiplicity, and nonexistence of solutions for a p-Kirchhoff elliptic equation on \(\mathbb{R}^{N}\)

... < p < ...when p(τ + ) < q < m < p ∗ = N pN –p ...of solutions for (.) still hold for any λ >  when p < q < p(τ + ) and μ = ? This is a ... See full document

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Multiplicity results for the Kirchhoff type equation via critical groups

Multiplicity results for the Kirchhoff type equation via critical groups

... Kirchhoff type problems by variational ...of solutions can be found in [13, 18, 19, 26], and for the case where the nonlinearity is asymptotically linear, we refer to [4, 15, 24, 26] for details and ... See full document

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On the Existence of Solutions of a Nonlocal Elliptic Equation with a p Kirchhoff Type Term

On the Existence of Solutions of a Nonlocal Elliptic Equation with a p Kirchhoff Type 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 astronomy, glaciology, climatology, nonnewtonian fluids, ... 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

Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy–Sobolev exponent and singular nonlinearity

... and multiplicity of positive solu- tions to the above ...semilinear elliptic equations with critical exponent and concave-convex non- linearities; for example, see [1, 5, 13, 14, 27, 29] and ... See full document

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Four Nontrivial Solutions for Kirchhoff Problems with Critical Potential, Critical Exponent and a Concave Term

Four Nontrivial Solutions for Kirchhoff Problems with Critical Potential, Critical Exponent and a Concave Term

... sign-changing solutions. As for in nitely many solutions, we refer readers to [8] ...of Kirchhoff type problem when g x u ( ) ; = λ f x u ( ) ; with some conditions and proved a sequence of ... See full document

9

Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type via genus theory

Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type via genus theory

... and multiplicity solutions for a class of sublinear fourth-order elliptic equation of Kirchhoff type by using the genus properties in critical ... See full document

12

Positive Radial Solutions for a Class of Semilinear Elliptic Problems Involving Critical Hardy Sobolev Exponent and Hardy Terms

Positive Radial Solutions for a Class of Semilinear Elliptic Problems Involving Critical Hardy Sobolev Exponent and Hardy Terms

... Positive Solutions for Singular El- liptic Equations with Mixed Dirichlet-Neumann Boundary ...On Elliptic Problems with Two Critical ... See full document

13

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 ...nonlocal problems also model ... See full document

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Existence and multiplicity of positive solutions for a class of p ( x )-Kirchhoff type equations

Existence and multiplicity of positive solutions for a class of p ( x )-Kirchhoff type equations

... becomes p-Laplacian when p(x) ≡ p (a constant). The p(x)-Laplacian possesses more complicated nonlinearities than the p-Laplacian; for example, it is ...mathematical problems ... See full document

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Multiplicity of positive solutions for Kirchhoff type problem involving critical exponent and sign-changing weight functions

Multiplicity of positive solutions for Kirchhoff type problem involving critical exponent and sign-changing weight functions

... 2. Lions, JL: 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., ... See full document

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EXISTENCE AND MULTIPLICITY OF WEAK SOLUTIONS FOR PERTURBED KIRCHHOFF TYPE ELLIPTIC PROBLEMS WITH HARDY POTENTIAL

EXISTENCE AND MULTIPLICITY OF WEAK SOLUTIONS FOR PERTURBED KIRCHHOFF TYPE ELLIPTIC PROBLEMS WITH HARDY POTENTIAL

... (3) Problems like (3) are called the Kirchhoff type problems that can be used for modeling several physical and biological systems where u describes a process which depends on the average of ... See full document

12

Multiplicity and asymptotic behavior of solutions to a class of Kirchhoff type equations involving the fractional p Laplacian

Multiplicity and asymptotic behavior of solutions to a class of Kirchhoff type equations involving the fractional p Laplacian

... of solutions of critical Kirchhoff-type equations involving the fractional ...L p ∗ s (R N ), but also how to estimate the critical ... See full document

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Existence of Positive Solutions for a Coupled System of Kirchhoff Type Equations with Sobolev Critical Exponent

Existence of Positive Solutions for a Coupled System of Kirchhoff Type Equations with Sobolev Critical Exponent

... positive solutions. Recently, the existence of multiple positive solutions for the p-q-Laplacian system with critical nonlinearities has been received much ...positive solutions, Yin ... See full document

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Multiplicity of solutions for Kirchhoff-type problems involving critical growth

Multiplicity of solutions for Kirchhoff-type problems involving critical growth

... in problems involving critical exponents, starting from the cel- ebrated paper by Brezis and Nirenberg ...many solutions with odd ...many solutions by using minimax ... See full document

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