On existence of weak solutions for a p-Laplacian system at resonance

Hung, Bui Quoc; Toan, Hoang Quoc

doi:10.1007/s13398-015-0217-7

Cited by 3 publications

(1 citation statement)

References 5 publications

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“…So, there are numerous reasons giving us motivations to apply some different methods to study the existence of solutions for nonlocal equations involving the fractional p-Laplacian. We refer the readers to some following papers [1][2][3][5][6][7][8][9][10][11][12][13][14][15][16]. In [1,2], the authors, by giving the proper transformation, selecting suitable Banach spaces and operators, and using Mawhin coincidence theory [17,18], investigated the fractional p-Laplacian equation and established the existence results of solutions.…”

Section: Introductionmentioning

confidence: 99%

On the functional boundary value problems involving a fractional p −Laplacian operator with a two-dimensional kernel

Sun,

Li,

Zhang

2023

Preprint

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We obtain, by generalizing the extension of the continuous theorem of Ge and Ren and constructing suitable Banach spaces and operators, two results about the existence of solutions for fractional differential equations with resonant p-Laplacian and functional boundary conditons. Meanwhile, the dimension of the kernel for a fractional differential operator with boundary conditions is two, which generalises and enrichs some known results. An novel example is also given to illustrate the existence theorem. Mathematics Subject Classification. Primary 34A08; Secondary 34B15

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Section: Introductionmentioning

confidence: 99%

On the functional boundary value problems involving a fractional p −Laplacian operator with a two-dimensional kernel

Sun,

Li,

Zhang

2023

Preprint

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On Fractional p-Laplacian Equations at Resonance

Hung

Toan

2019

Bull. Malays. Math. Sci. Soc.

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Solvability for a fractional $ p $-Laplacian equation in a bounded domain

Lv¹,

O’Regan

2022

MATH

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<abstract><p>In this paper we use the topological degree and the fountain theorem to study the existence of weak solutions for a fractional $ p $-Laplacian equation in a bounded domain. For the nonlinearity $ f $, we consider two situations: (1) the non-resonance case where $ f $ is $ (p-1) $-asymptotically linear at infinity; (2) the resonance case where $ f $ satisfies the Landesman-Lazer type condition.</p></abstract>

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On existence of weak solutions for a p-Laplacian system at resonance

Cited by 3 publications

References 5 publications

On the functional boundary value problems involving a fractional p −Laplacian operator with a two-dimensional kernel

On the functional boundary value problems involving a fractional p −Laplacian operator with a two-dimensional kernel

On Fractional p-Laplacian Equations at Resonance

Solvability for a fractional $ p $-Laplacian equation in a bounded domain

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