[PDF] Top 20 Existence of positive solutions to elliptic problems involving the fractional Laplacian
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Existence of positive solutions to elliptic problems involving the fractional Laplacian
... Inspired by the above-mentioned papers, we are concerned with the existence of positive solutions of (P). The novelties in this paper are mainly two parts. First, we just assume that the nonlinear ... See full document
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Solutions for the quasi linear elliptic problems involving the critical Sobolev exponent
... We should mention that Liu, Guo and Lei [] studied the existence and multiplicity of positive solutions of Kirchhoff equation with critical exponential nonlinearity. Inspired by [, ], we study ... See full document
20
Topological arguments for an elliptic equation involving the fractional Laplacian
... nected to a degenerate elliptic differential equation in one dimension higher by a Dirichlet to Neumann map. This provides a good variational structure to the problem. By studying this problem with classical local ... See full document
17
Existence on positive solutions for boundary value problems of nonlinear fractional differential equations with p Laplacian
... one positive solution by means of the upper and lower solutions ...the existence and multiplicity of concave positive solu- tions of a boundary value problem of a fractional differential ... See full document
16
Existence of positive solutions for discrete delta-nabla fractional boundary value problems with p-Laplacian
... discrete fractional calculus has attracted slowly but steadily increas- ing attention in the past seven years or ...discrete fractional initial value problems and discrete ...discrete ... See full document
23
Existence of positive solutions for integral boundary value problems of fractional differential equations with p Laplacian
... the existence of positive solutions for integral boundary value problems of Caputo fractional differential equations with p-Laplacian ...the existence of positive ... See full document
19
Existence of Solutions for a Class of Elliptic Systems in Involving the Laplacian
... of problems in elasticity, electrorheological fluids, image processing, flow in porous media, calculus of variations, and differential equations with px-growth conditions ... See full document
16
The existence of positive solutions for p-Laplacian boundary value problems at resonance
... By using the Leggett-Williams norm-type theorem due to O’Regan and Zima and constructing suitable Banach spaces and operators, we investigate the existence of positive solutions for fractional ... See full document
9
Multiplicity of positive solutions for fractional elliptic systems involving sign-changing weight
... a positive parameter, f has a subcritical growth, V possesses a local ...the existence of one positive solution imposing a global condition on V ...small positive constant, several scholars ... See full document
23
Positive solutions to boundary value problems of p-Laplacian with fractional derivative
... conformable fractional calculus and give some lemmas with respect to the corresponding Green’s ...the existence of positive so- lution for the boundary value problem ...of positive ... See full document
15
On the existence of positive solutions for generalized fractional boundary value problems
... of fractional derivatives such as ψ -Hilfer fractional derivative, Hilfer–Katugampola frac- tional derivative, and generalized proportional fractional derivative [1, 2, 12, 14–17, 23, ...-Hilfer ... See full document
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Existence of positive solutions for fractional differential equation involving integral boundary conditions with p Laplacian operator
... The existence of positive solutions is considered for a fractional differential equation with p-Laplacian operator in this article. By employing the Avery-Henderson fixed point theorem, a ... See full document
11
Existence of solutions of fractional boundary value problems with p-Laplacian operator
... Caputo fractional differential equation with boundary value conditions involving the p-Laplacian ...The existence and uniqueness of the problem is found by the Banach fixed point ... See full document
16
A note on the existence and multiplicity of solutions for sublinear fractional problems
... of problems involving frac- tional and nonlocal ...nonlocal fractional operators and their applications which are very interesting; we refer the interested reader to [–] and the references ... See full document
15
Positive solution for a fractional singular boundary value problem with p-Laplacian operator
... value problems of fractional differential equations with or with- out p-Laplacian operator have been widely ...many existence and multiplicity results of solutions or positive ... See full document
10
Existence of positive solutions for a fractional elliptic problems with the Hardy-Sobolev-Maz’ya potential and critical nonlinearities
... the fractional elliptic problem with Hardy-Sobolev-Maz’ya potential and critical ...the existence of positive solutions for problem (1) and our main result of this paper is as ... See full document
11
Existence and multiplicity of positive solutions for p-Laplacian elliptic equations
... nontrivial positive solutions for every λ ∈ (, λ ∗ ...p-Laplacian problems studied in [, – ] are all not (p – )-sublinear at ... See full document
15
Existence of Solutions for the Four-point Fractional Boundary Value Problems Involving the P-Laplacian Operator
... value problems with p-Laplacian operator is gaining much importance and ...the existence of multiple positive solutions for Sturm-Liouville-like four-point bound- ary value problem with ... See full document
5
Positive solution for q fractional four point boundary value problems with p Laplacian operator
... Recently, fractional differential equations with p-Laplacian operator have gained its pop- ularity and importance due to its distinguished applications in numerous diverse fields of science and engineering, ... See full document
14
Existence and nonexistence of positive solutions for the fractional coupled system involving generalized p Laplacian
... the existence of positive solutions for two above cases due to their great applica- tion background (see ...the fractional calculus, the application of the above two kinds of special ... See full document
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