Person:
Pardo San Gil, Rosa María

Profile Picture
First Name
Rosa María
Last Name
Pardo San Gil
URI
https://hdl.handle.net/20.500.14352/76098
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Químicas
Department
Análisis Matemático Matemática Aplicada
Area
Matemática Aplicada
Identifiers
UCM identifierORCIDScopus Author IDWeb of Science ResearcherIDDialnet IDGoogle Scholar ID

Filters

2017 - 201912020 - 20211
Reset filters

Settings

Subject: 51 ×

Search Results

Now showing 1 - 2 of 2
  • Thumbnail Image
    Item
    Equivalence between uniform Lp∗ a priori bounds and uniform L∞ a priori bounds for subcritical p-laplacian equations
    (Mediterranean Journal of Mathematics, 2021) Mavinga, Nsoki; Pardo San Gil, Rosa María
    We establish sufficient conditions for a uniform Lp⋆ (Ω) bound to imply a uniform L∞(Ω) bound for positive weak solutions of sub- critical p-Laplacian equations. We also provide an equivalent result for sequences of boundary-value problems. As consequences, we prove that any set of solutions with finite energy is L∞(Ω) a priori bounded, and also obtain an alternative proof of the existence of a priori bounds for subcritical power like nonlinearities.
  • Thumbnail Image
    Item
    Bifurcation from infinity for reaction-diffusion equations under nonlinear boundary conditions
    (Proceedings of the Royal Society of Edinburgh, 2017) Mavinga, Nsoki; Pardo San Gil, Rosa María
    We consider reaction–diffusion equations under nonlinear boundary conditions where the nonlinearities are asymptotically linear at infinity and depend on a parameter. We prove that, as the parameter crosses some critical values, a resonance-type phenomenon provides solutions that bifurcate from infinity. We characterize the bifurcated branches when they are sub- or supercritical. We obtain both Landesman–Lazer-type conditions that guarantee the existence of solutions in the resonant case and an anti-maximum principle.