☆ 4.2 Article

Three solutions for a fractional p-Laplacian problem

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS (2022)

相关参考文献

注意：仅列出部分参考文献，下载原文获取全部文献信息。

Article Mathematics, Applied

Five solutions for the fractional p-Laplacian with noncoercive energy

Silvia Frassu et al.

Summary: This study investigates a Dirichlet problem driven by the degenerate fractional p-Laplacian and involving a nonlinear reaction. The research shows that under certain conditions, there are five nontrivial solutions for the problem, including two positive solutions, two negative solutions, and one nodal solution.

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS (2022)

添加到收藏夹

Article Mathematics, Applied

Nodal solutions for anisotropic (p, q)-equations

Shengda Zeng et al.

Summary: In this paper, we consider a nonlinear Dirichlet problem driven by the anisotropic (p, q) Laplacian and a Caratheodory reaction f(z, x) locally defined in x. By using critical point theory, truncation and comparison techniques, as well as critical groups, we prove the existence of at least three nontrivial smooth solutions (positive, negative, and nodal). If a symmetry condition on f(z, .) is imposed, we can generate a whole sequence of nodal solutions converging to zero in Co (omega).

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2022)

添加到收藏夹

Article Mathematics, Applied

Extremal constant sign solutions and nodal solutions for the fractional p-Laplacian

Silvia Frassu et al.

Summary: This paper investigates a pseudo-differential equation driven by the degenerate fractional p Laplacian under Dirichlet type conditions in a smooth domain. The study shows the existence of solutions within a specific interval and establishes the presence of a smallest positive solution, a biggest negative solution, and a nodal solution.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2021)

添加到收藏夹

Article Mathematics, Applied

Four Solutions for Fractional p-Laplacian Equations with Asymmetric Reactions

Antonio Iannizzotto et al.

Summary: Using critical point theory and Morse theory, it is proven that for sufficiently small values of the parameter, the Dirichlet type problem for a nonlinear, nonlocal equation driven by the degenerate fractional p-Laplacian admits at least four nontrivial solutions, including positive, negative, and nodal solutions. A Brezis-Oswald type comparison result is also proved as a tool.

MEDITERRANEAN JOURNAL OF MATHEMATICS (2021)

添加到收藏夹

Article Mathematics, Applied

Multiple Solutions for a Kirchhoff-Type Equation

Ruichang Pei et al.

MEDITERRANEAN JOURNAL OF MATHEMATICS (2020)

添加到收藏夹

Article Mathematics

Fine boundary regularity for the degenerate fractional p-Laplacian

Antonio Iannizzotto et al.

JOURNAL OF FUNCTIONAL ANALYSIS (2020)

添加到收藏夹

Article Mathematics

A Hopf's lemma and a strong minimum principle for the fractional p-Laplacian

Leandro M. Del Pezzo et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2017)

添加到收藏夹

Article Mathematics, Applied

Existence of multiple solutions of p-fractional Laplace operator with sign-changing weight function

Sarika Goyal et al.

ADVANCES IN NONLINEAR ANALYSIS (2015)

添加到收藏夹

Article Mathematics, Applied

The Nehari manifold for nonlocal elliptic operators involving concave-convex nonlinearities

Wenjing Chen et al.

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2015)

添加到收藏夹

Article Mathematics, Applied

Multiple nontrivial solutions to a p-Kirchhoff equation

Duchao Liu et al.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2012)

添加到收藏夹

Article Mathematics

THREE NON-TRIVIAL SOLUTIONS FOR NOT NECESSARILY COERCIVE p-LAPLACIAN EQUATIONS

Shouchuan Hu et al.

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY (2009)

添加到收藏夹

Article Mathematics, Applied

Multiple solutions for coercive p-Laplacian equations

SB Liu

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2006)

添加到收藏夹

Article Mathematics

The existence of multiple solutions to quasilinear elliptic equations

JQ Liu et al.

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY (2005)

添加到收藏夹

Article Mathematics, Applied

Existence and multiplicity results for Dirichlet problems with p-Laplacian

QS Jiu et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2003)

添加到收藏夹

Article Physics, Multidisciplinary

Fractional quantum mechanics and Levy path integrals

N Laskin

PHYSICS LETTERS A (2000)

添加到收藏夹

© Peeref 2019-2024. All rights reserved.