Semilinear elliptic equations with Hardy potential and gradient nonlinearity

• Autores: Konstantinos T. Gkikas, Phuoc-Tai Nguyen
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 36, Nº 4, 2020, págs. 1207-1256
• Idioma: inglés
• DOI: 10.4171/rmi/1164
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• Resumen

  • Let RN (N≥3) be a C2 bounded domain, and let δ be the distance to ∂Ω. In this paper, we study positive solutions of the equation (⋆) −Lμu+g(|∇u|)=0 in Ω, where Lμ=Δ+μ/δ2, μ∈(0,1/4] and g is a continuous, nondecreasing function on R+.