Morse theory - Open Access .click

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Existence of solutions to (2,p)-Laplacian equations by Morse theory

Electronic Journal of Differential Equations, 2017
In this article, we use Morse theory to investigate a type of Dirichlet boundary value problem related to the (2,p)-Laplacian operator, where the nonlinear term is characterized by the first eigenvalue of the Laplace operator.
Zhanping Liang, Yuanmin Song, Jiabao Su
doaj

Three nontrivial solutions for Neumann problems resonant at any positive eigenvalue

Le Matematiche, 2010
We consider a semilinear Neumann problem with a parametric reaction which has a concave term and a perturbation which at ±∞ can be resonant with respect to any positive eigenvalue.
Sophia Th. Kyritsi, Nikolaus S. Papageorgiou +1 more
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Asymmetric Robin boundary-value problems with p-Laplacian and indefinite potential

Electronic Journal of Differential Equations, 2018
Four nontrivial smooth solutions to a Robin boundary-value problem with p-Laplacian, indefinite potential, and asymmetric nonlinearity super-linear at infinity are obtained, all with sign information.
Salvatore A. Marano, Nikolaos S. Papageorgiou +1 more
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Existence and multiplicity of solutions for nonlinear equations involving the square root of the Laplacian

Electronic Journal of Differential Equations, 2017
This paper deals with the existence and multiplicity results for fractional problem involving the square root of the Laplacian $A_{1/2}$ in a bounded domain with zero Dirichlet boundary conditions by Morse theory and critical groups for a $C^{1 ...
Yutong Chen, Jiabao Su, Huanhong Yan
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Introduction to Morse theory and Morse homology [PDF]

, 2021
openaire +1 more source

Persistence in discrete Morse theory [PDF]