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math.AP2025
Uniform a priori bounds for Slightly Subcritical Elliptic Problems
Mabel Cuesta, Rosa Pardo
We obtain a uniform a priori bound, for any positive weak solutions to elliptic problem with a nonlinearity slightly subcritical, slightly superlinear, and regu…
math.AP2024
Bifurcation for indefinite weighted -laplacian problems with slightly subcritical nonlinearity
Mabel Cuesta, Rosa Pardo
We study a superlinear elliptic boundary value problem involving the -laplacian operator, with changing sign weights. The problem has positive solutions bifurcating from the tri…
math.AP2023
Positive solutions of elliptic systems with superlinear terms on the critical hyperbola
Mabel Cuesta, Rosa Pardo, Angela Pistoia
We consider a slightly subcritical elliptic system with Dirichlet boundary conditions and a non-power nonlinearity in a bounded smooth domain. For this problem, standard compact em…