Nonexistence result of nontrivial solutions to the equation −Δu=f(u)

DOI10.1080/17476933.2020.1825397zbMath1485.35237OpenAlexW3117904348MaRDI QIDQ5037259

Salvador López-Martínez, Alexis Molino Salas

Publication date: 28 February 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1825397

zbMATH Keywords

Dirichlet problemnon-existencesemilinear equation with Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (1)

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Cites Work

• Unnamed Item
• Unnamed Item
• A remark on a class of nonlinear eigenvalue problems
• On Ricceri's conjecture for a class of nonlinear eigenvalue problems
• Infinite-dimensional dynamical systems in mechanics and physics.
• Multi-peak solutions for super-critical elliptic problems in domains with small holes
• Convergence of bounded weak solutions of the wave equation with dissipation and analytic nonlinearity
• On Positive Solutions of Semilinear Elliptic Equations
• Remarks on some quasilinear elliptic equations
• Non‐existence results for an eigenvalue problem involving Lipschitzian non‐linearities with non‐positive primitive
• Remarks on some dissipative sine-Gordon equations
• Variational Methods

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