[PDF] Top 20 Existence of Weak Solutions for a Nonlocal Problem Involving the p(x) Laplace Operator
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Existence of Weak Solutions for a Nonlocal Problem Involving the p(x) Laplace Operator
... [8] I. Ekeland, On the variational principle, J. Math. Anal. Appl. 47 (1974), 324–353. [9] X. L. Fan, J. S. Shen and D. Zhao, Sobolev embedding theorems for spaces W k,p( · ) (Ω), J. Math. Anal. Appl. 262 ... See full document
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Three solutions for a class of quasilinear elliptic systems involving the p(x)-Laplace operator
... The existence of at least three weak solutions is established for a class of quasilinear elliptic systems involving the p ( x )-Laplace operator with Neumann ... See full document
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Existence of solutions for a nonhomogeneous Dirichlet problem involving \(p(x)\)-Laplacian operator and indefinite weight
... is at many aspects an important tool in studying generalized Lebesgue–Sobolev spaces. Remark 2.2 Variable exponent Lebesgue spaces have many properties similar to those of classical Lebesgue spaces, namely they are ... See full document
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Existence of an unbounded branch of the set of solutions for Neumann problems involving the p(x)-Laplacian
... the p-Laplacian, Väth [] came at it from another viewpoint to establish the existence of a global branch of solutions for the p-Laplacian with Dirichlet boundary condition by applying ... See full document
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Existence of an unbounded branch of the set of solutions for equations of p(x)-Laplace type
... the p-Laplacian and generalized operators, nonlinear eigenvalue and bifurcation problems have been extensively studied by many researchers in various ways of approach; see ...the p-Laplacian, under suitable ... See full document
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Existence of three positive solutions for nonsmooth functional involving the p-biharmonic operator
... in problem (1.1), is variable , causes that the fourth-order problem is investigate in a complete ...of solutions, several applications can be ... See full document
10
Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann boundary conditions
... the existence of positive solutions to a class of nonlocal boundary value problems of the p-Kirchhoff type ...studied p(x)-Laplacian equation with the nonlinear- ity f satisfying ... See full document
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Existence of solutions for a differential inclusion problem with singular coefficients involving the p(x)-Laplacian
... The operator -div(| ∇ u| p(x)-2 ∇ u) is said to be the p(x)-Laplacian, and becomes p-Laplacian when p(x) ≡ p (a ...The p(x)-Laplacian possesses ... See full document
15
Existence of three solutions for a Navier boundary value problem involving the (p(x),q(x))-biharmonic
... the existence of multiple solutions for a quasilinear system in- volving a pair of (p(x), q(x))-Laplacian ...multiple solutions for a class of differential inclusion systems ... See full document
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The existence of weak solutions for a nonlocal Cahn Hilliard equation with degenerate mobility
... the existence, unique- ness and continuous dependence on initial data of the solution for a nonlocal Cahn-Hilliard eqaution with Dirichlet boundary condition on a bounded ...the existence, uniqueness ... See full document
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Existence and multiplicity of solutions for nonlocal p(x)-Laplacian problems in RN
... the problem was proposed; see, ...a nonlocal elliptic prob- lem has already been extended to the case involving the p-Laplacian; see, ...the existence of positive solutions to a ... See full document
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Existence and multiplicity of solutions for equations involving nonhomogeneous operators of p(x)-Laplace type in RN
... the existence of at least one solution, and under suitable assumptions, infinitely many solutions for the problem above by using mountain pass theorem and fountain ... See full document
17
Existence Results for A Nonlocal Problem Involving the p(x)-Laplacian
... that p-Laplacian operator is (p-1)-homogenous, but the p(x)-Laplacian operator, when p(x) is not constant, is not ...For p(x)- Laplacian ... See full document
8
Existence Results for a Nonlocal Problem Involving the p Laplace Operator
... equations involving the p-Laplacian “half-linear” ...The p-Laplace operator is very popular in nonlinear analysis and appears particularly in describing the behavior of compressible ... See full document
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On solvability of a nonlocal problem for the Laplace equation with the fractional-order boundary operator
... of solutions of the studied problems have been ...the existence and smoothness of solutions of boundary value problems for the second-order elliptic equations with boundary operators of fractional ... See full document
13
Existence and uniqueness of solutions for nonlocal p Laplacian problems
... the existence 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 ... See full document
10
Maximum and minimum solutions for a nonlocal p-Laplacian fractional differential system from eco-economical processes
... established, and the estimation of the lower and upper bounds of the maximum and minimum solutions is also derived. In addition, the iterative schemes starting from some explicit initial values and converging to ... See full document
15
The Existence and Multiplicity of Solutions for Singular Boundary Value Systems with p Laplacian
... the existence of positive solutions for the fourth-order boundary value problem system with p-Laplacian ...The existence of single or multiple positive solutions for the system ... See full document
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Existence results for some nonlinear elliptic equations with measure data in Orlicz-Sobolev spaces
... tion (g) without any sign condition, and μ is a nonnegative bounded Radon measure on . When trying to relax the restriction on a and H in Eq. (), we are led to replace Sobolev spaces by Orlicz-Sobolev spaces without ... See full document
22
Existence of Solutions for the Four-point Fractional Boundary Value Problems Involving the P-Laplacian Operator
... problems involving the p-Laplacian ...the existence of solutions for the four-point fractional boundary value problems involving the p-Laplacian ...the p-Laplacian ... See full document
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