[PDF] Top 20 The uniqueness of a nonlinear diffusion equation related to the p Laplacian
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The uniqueness of a nonlinear diffusion equation related to the p Laplacian
... is always necessary. Different from the usual evolutionary p-Laplacian equation or equa- tion (1.1), an obvious feature of equations (1.2), (1.3) lies in that the diffusion coefficient ρ α depends on the ... See full document
14
Existence and uniqueness of solutions for nonlocal p Laplacian problems
... and uniqueness of positive solutions to a class of nonlocal boundary-value problems involving the ...the p-Laplacian operator, and a Sobolev embedding which is applicable to the bounded ... See full document
10
Existence and uniqueness of solutions for p-laplacian fractional order boundary value problems
... and uniqueness of solutions of three point boundary value problem for p-Laplacian fractional order differential ...for uniqueness of ... See full document
11
The uniqueness of solution for a fractional order nonlinear eigenvalue problem with p Laplacian operator
... Differential equations of fractional order have been shown to be valuable tools in the mod- eling of many phenomena arising from science and engineering, such as the charge trans- port in amorphous semiconductors [], ... See full document
9
The stability of the solutions of an equation related to the p-Laplacian with degeneracy on the boundary
... ≥ p – , let u be a weak solution of equation ...the uniqueness of the solutions seems very ...when p ≥ , in the following, we give its ... See full document
13
Existence and uniqueness of positive periodic solution for ϕ-Laplacian Liénard equation
... As is well known, the existence of periodic solutions for a p-Laplacian differential equa- tion was extensively studied (see [–] and the references therein). In recent years, there also appeared some ... See full document
11
On a parabolic equation related to the p-Laplacian
... with < γ < , and shown that the uniqueness of the solutions of equation (.) is not true. From the short comment, one can see that the degeneracy of the coefficient ρ α plays an important role in ... See full document
8
Positive solution for a fractional singular boundary value problem with p-Laplacian operator
... In [11], Xu and Dong considered three-point BVP (1.1), but their nonlinearity f : [0, 1]× [0, + ∞ ) → [0, + ∞ ) is continuous, the existence and uniqueness of positive solutions were obtained by using the upper ... See full document
10
Local Solutions to a Class of Parabolic System Related to the P Laplacian
... and uniqueness of local solutions to the initial and boun- dary value problem of a class of parabolic system related to the p-Laplacian are stu- ...the uniqueness of the solution is ... See full document
11
A new kind of the solutions of a convection-diffusion equation related to the \(p(x)\)-Laplacian
... the equation is its degeneracy on the boundary, since the weak solutions generally lack the regularity to define the trace on the ...the uniqueness or the stability of the weak solutions, the boundary value ... See full document
15
Existence,uniqueness, and nonexistence of solutions to nonlinear diffusion equations with \(p(x,t)\)-Laplacian operator
... By constructing suitable function spaces and applying the method of Galerkin’s approximation as well as weak convergence techniques, the authors prove the existence of local solutions. Furthermore, we choose a suitable ... See full document
10
Global Existence, Uniqueness, and Asymptotic Behavior of Solution for Laplacian Type Wave Equation
... to nonlinear wave ...the uniqueness, we need to derive the various estimates for assumed solution ...wave equation u tt − Δu gu t 0 in Ω × R , where ... See full document
15
The weak solutions of a doubly nonlinear parabolic equation related to the \(p(x)\) Laplacian
... other equation which has a similar type as ...estimates related to the existence and in the proof of the uniqueness of weak solution, the condition d 0 > 0 acts as a very important role in ... See full document
21
Multiplicity of solutions for a p-Laplacian equation with nonlinear boundary conditions
... ν is the unit outer normal on ∂Ω. In addition, we assume, a(x) ∈ C(Ω) is a positive function and f : ∂Ω × R → R is continuous. Problem (1.1) is used to model physical phenomena related to non-Newtonian fluids, ... See full document
5
Existence of an unbounded branch of the set of solutions for Neumann problems involving the p(x)-Laplacian
... the p-Laplacian equation, an analysis for the p(x)-Laplacian equation has to be carried out more carefully because it has complicated nonlinearities (it is nonhomo- geneous) and ... See full document
16
Existence of Concave Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p Laplacian Operator
... To the best of our knowledge, the existence of concave positive solutions of fractional order equation is seldom considered and investigated. Motivated by the above arguments, the main objective of this paper is ... See full document
17
Positive periodic solution for ϕ-Laplacian Rayleigh equation with strong singularity
... In the above papers, the authors investigated several kinds of Rayleigh and p-Laplacian Rayleigh equations. However, as far as we know, the study of periodic solutions for the φ -Laplacian ... See full document
9
Multiple positive solutions for nonlinear mixed fractional differential equation with p Laplacian operator
... differential equation with a p-Laplacian ...certain nonlinear growth conditions of the nonlinearity, we get the existence of multiple positive solutions for the boundary value ... See full document
12
Solutions and Green's Functions for Boundary Value Problems of Second-Order Four-Point Functional Difference Equations
... Zhang, “Existence of positive solutions for boundary value problems of nonlinear functional difference equation with p -Laplacian operator,” Boundary Value Problems , vol. Zhao, “Solution[r] ... See full document
22
Extinction and decay estimates of solutions for a p-Laplacian evolution equation with nonlinear gradient source and absorption
... subject to (.) and (.) and proved that the sufficient condition for the extinction to occur is < r < by using the upper and lower solutions methods. Lagar et al. [] studied the qualitative properties of ... See full document
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