On a class of semipositone problems with singular Trudinger-Moser nonlinearities

DOI10.3934/DCDSS.2020452zbMath1480.35110arXiv1912.09835OpenAlexW3100658976MaRDI QIDQ2057692

Shiqiu Fu, Perera, Kanishka

Publication date: 7 December 2021

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.09835

zbMATH Keywords

existence of positive solutionssemilinear equation with Laplaciansemipositone problemsDitichlet problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

• Positive solutions for some semi-positone problems via bifurcation theory
• A singular Moser-Trudinger embedding and its applications
• Existence of positive solutions for a semipositone p-Laplacian problem
• A variational approach to superlinear semipositone elliptic problems
• Existence of positive solutions for a class of p-Laplacian superlinear semipositone problems
• Non-negative solutions for a class of non-positone problems
• Uniqueness and Stability of Nonnegative Solutions for Semipositone Problems in a Ball

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