M. Soares

activity

20182026

most citedAn Indefinite Elliptic Problem on RN Autonomous at Infinity: The Crossing Effect of the Spectrum and the Nonlinearity

1 citations · 1 across the 9 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.AP2022

Boundary weak Harnack estimates and regularity for elliptic PDE in divergence form

Fiorella Rendón, Boyan Sirakov, Mayra Soares

We obtain a global extension of the classical weak Harnack inequality which extends and quantifies the Hopf-Oleinik boundary-point lemma, for uniformly elliptic equations in diverg…

math.AP2022

Energy estimates for seminodal solutions to an elliptic system with mixed couplings

Mónica Clapp, Mayra Soares

We study the system of semilinear elliptic equations $- Δ u_{i} + u_{i} = j = 1 \sum ℓ β_{ij} ∣ u_{j} ∣^{p} ∣ u_{i} ∣^{p - 2} u_{i}, u_{i} \in H^{1} (R^{N}), i = 1, \dots, ℓ,$ where $N\…