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[PDF] Top 20 The boundary value condition of an evolutionary \(p(x)\)-Laplacian equation

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The boundary value condition of an evolutionary \(p(x)\)-Laplacian equation

The boundary value condition of an evolutionary \(p(x)\)-Laplacian equation

... suitable boundary value condition of ...suitable boundary value condition related to ...whole boundary value condition ...partial boundary ... See full document

24

GENERAL QUASILINEAR PROBLEMS INVOLVING \(p(x)\)-LAPLACIAN WITH ROBIN BOUNDARY CONDITION

GENERAL QUASILINEAR PROBLEMS INVOLVING \(p(x)\)-LAPLACIAN WITH ROBIN BOUNDARY CONDITION

... polycrystal plasticity [3, 4] and continuum mechanics [2] etc, for an overview of this subject, and for more details we refer readers to [11] and [5, 10] and the references therein. The existence of nontrivial solutions ... See full document

12

The stability of evolutionary \(p(x)\)-Laplacian equation

The stability of evolutionary \(p(x)\)-Laplacian equation

... since equation (.) is degenerate on the boundary and may be degenerate or singular at points where |∇ u | = , it only has a weak solution generally, so whether the conclusion ... See full document

11

Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator

Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator

... the boundary value conditions in ...Sturm-Liouville boundary value conditions u(0) + bu’(0) = 0, u(1) + su’(1) = 0 (such as BVP ...the boundary value problems with ... See full document

20

Influence of weight functions to a nonlocal p Laplacian evolution equation with inner absorption and nonlocal boundary condition

Influence of weight functions to a nonlocal p Laplacian evolution equation with inner absorption and nonlocal boundary condition

... initial boundary value problem for a nonlocal p-Laplacian evolution equation with an inner absorption and weighted linear nonlocal boundary and initial ... See full document

10

Solvability of Neumann boundary value problem for fractional p Laplacian equation

Solvability of Neumann boundary value problem for fractional p Laplacian equation

... (.)) is a Fredholm operator of index zero and N (defined by (.)) is L-compact on . ¯ Moreover, by Lemmas . and ., the conditions () and () of Lemma . are satisfied. Hence, it remains to verify the ... See full document

10

Evolutionary p-Laplacian with convection and reaction under dynamic boundary condition

Evolutionary p-Laplacian with convection and reaction under dynamic boundary condition

... dynamic boundary conditions of type ...dynamic boundary conditions have been considered in the past ...with p =  and → g =  was carried out by Below and Mailly [] who showed a complete result ... See full document

15

The stability of the solutions of an equation related to the p-Laplacian with degeneracy on the boundary

The stability of the solutions of an equation related to the p-Laplacian with degeneracy on the boundary

... the boundary. If α < p – 1, the weak solution belongs to H γ for some γ > 1, the Dirichlet boundary condition can be imposed as usual, the stability of the solutions is ...≥ p – ... See full document

13

On the evolutionary p Laplacian equation with a partial boundary value condition

On the evolutionary p Laplacian equation with a partial boundary value condition

... the boundary ∂ . Since the nonlinearity, the boundary value condition cannot be portrayed by the Fichera ...< p – 1, a partial boundary value condition is ... See full document

18

The uniqueness of a nonlinear diffusion equation related to the p Laplacian

The uniqueness of a nonlinear diffusion equation related to the p Laplacian

... usual evolutionary p-Laplacian equation or equa- tion ...the boundary. By this feature, instead of the usual boundary value ... See full document

14

Solvability of anti periodic boundary value problem for coupled system of fractional p Laplacian equation

Solvability of anti periodic boundary value problem for coupled system of fractional p Laplacian equation

... certain boundary value conditions have been ...anti-periodic boundary value problems (ABVPs for short) for coupled systems of the fractional p-Laplacian ... See full document

11

Multiple solutions of boundary value problems with ϕ-Laplacian operators and under a Wintner-Nagumo growth condition

Multiple solutions of boundary value problems with ϕ-Laplacian operators and under a Wintner-Nagumo growth condition

... the p-Laplacian with Sturm-Liouville boundary ...growth condition was imposed on f ...growth condition, and by Goudreau [] under a Wintner-Nagumo growth ... See full document

21

Existence of Concave Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p Laplacian Operator

Existence of Concave Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p Laplacian Operator

... order equation is seldom considered and ...of boundary value problem of fractional differential equation with p- Laplacian operator as ... See full document

17

Existence of solutions for weighted p(r)-Laplacian impulsive system mixed type boundary value problems

Existence of solutions for weighted p(r)-Laplacian impulsive system mixed type boundary value problems

... weighted p(r)-Laplacian impulsive differential system mixed type boundary value condition problems, when p(r) is a general ...type boundary value problems are ... See full document

22

On the periodic boundary value problem for Duffing type fractional differential equation with p-Laplacian operator

On the periodic boundary value problem for Duffing type fractional differential equation with p-Laplacian operator

... certain boundary value conditions have been ...periodic boundary value problems (PBVPs for short) of fractional differential equations was discussed ... See full document

11

Existence and uniqueness of solutions for p-laplacian fractional order boundary value problems

Existence and uniqueness of solutions for p-laplacian fractional order boundary value problems

... nonlinear boundary value problems for fractional order differential ...to boundary value problems corresponding to fractional order differential ... See full document

11

Inverse nodal problem for p-Laplacian with two potential functions

Inverse nodal problem for p-Laplacian with two potential functions

... (q ≡ 0) [11] in high dimensional case also hold. But, two-Laplacian case is not the same completely. For example, in one dimension the Fredholm alternative may not hold [8]. Also, for a periodic boundary ... See full document

11

The existence of positive solutions for multi-point boundary value problem at resonance on the half-line

The existence of positive solutions for multi-point boundary value problem at resonance on the half-line

... Let X, Y be real Banach spaces. A linear mapping L : dom L ⊂ X → Y is called a Fred- holm operator of index zero if Im L is closed and dim Ker L = codim Im L < ∞, which im- plies that there exist ... See full document

12

Solutions for a degenerate \(p(x)\)-Laplacian equation with a nonsmooth potential

Solutions for a degenerate \(p(x)\)-Laplacian equation with a nonsmooth potential

... There exist several existence results for problem (.). For example, Dai and Liu [] ob- tained the existence of three solutions for problem (.) by a version of the nonsmooth three critical points theorem. Qian and ... See full document

16

Multiplicity of solutions for a p-Laplacian equation with nonlinear boundary conditions

Multiplicity of solutions for a p-Laplacian equation with nonlinear boundary conditions

... In this paper, we used the three critical points theorem to prove the existence of three distinct solutions for an important clas of boundary value problems associate with p-Laplacian ... See full document

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