Nonexistence result for a semilinear elliptic problem

2019/02/23 by Salvador López-Martínez, López-Martínez, Salvador, Alexis Molino +1
Computer Science · Mathematics · #35J91 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1902.08800

openalex publication_date 2019/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we prove the nonexistence of nontrivial solution to \begincases -Δu =f(u) amp;in Ω,
u=0 amp;on ∂ Ω, \endcases being Ω⊂ ℝ^N (N∈ ℕ) a bounded domain and f locally Lispchitz with non-positive primitive.

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