Sign-changing blow-up for the Yamabe equation at the lowest energy level

Towers of Bubbles for Yamabe-Type Equations and for the Brézis–Nirenberg Problem in Dimensions $$n \ge 7$$

(2022) Bruno Premoselli   JOURNAL OF GEOMETRIC ANALYSIS

Stability and instability results for sign-changing solutions to second-order critical elliptic equations

(2022) Bruno Premoselli et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Existence of metrics maximizing the first eigenvalue on non-orientable surfaces

(2021) Henrik Matthiesen et al.   Journal of Spectral Theory

Variational properties of the second eigenvalue of the conformal Laplacian

(2021) Matthew J. Gursky et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Phase Separation, Optimal Partitions, and Nodal Solutions to the Yamabe Equation on the Sphere

(2020) Mónica Clapp et al.   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Compactness of sign-changing solutions to scalar curvature-type equations with bounded negative part

(2019) Bruno Premoselli et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Desingularization of Clifford torus and nonradial solutions to the Yamabe problem with maximal rank

(2019) Maria Medina et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Low energy nodal solutions to the Yamabe equation

(2019) Juan Carlos Fernández et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Positive clusters for smooth perturbations of a critical elliptic equation in dimensions four and five

(2018) Pierre-Damien Thizy et al.   JOURNAL OF FUNCTIONAL ANALYSIS

New Type of Sign-Changing Blow-up Solutions for Scalar Curvature Type Equations

(2017) Shengbing Deng et al.   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

On the Existence of Metrics Which Maximize Laplace Eigenvalues on Surfaces

(2017) Romain Petrides   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

A compactness theorem for the Yamabe problem

(2017) M.A. Khuri et al.   JOURNAL OF DIFFERENTIAL GEOMETRY

Blow-up phenomena for the Yamabe equation II

(2017) Simon Brendle et al.   JOURNAL OF DIFFERENTIAL GEOMETRY

Entire nodal solutions to the pure critical exponent problem arising from concentration

(2016) Mónica Clapp   JOURNAL OF DIFFERENTIAL EQUATIONS

Non-compactness and infinite number of conformal initial data sets in high dimensions

(2016) Bruno Premoselli et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Towering Phenomena for the Yamabe Equation on Symmetric Manifolds

(2016) Filippo Morabito et al.   POTENTIAL ANALYSIS

Nondegeneracy of Nodal Solutions to the Critical Yamabe Problem

(2015) Monica Musso et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Sign-changing solutions to elliptic second order equations: glueing a peak to a degenerate critical manifold

(2014) Frédéric Robert et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Sign-changing bubble towers for asymptotically critical elliptic equations on Riemannian manifolds

(2013) Angela Pistoia et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

The effect of linear perturbations on the Yamabe problem

(2013) Pierpaolo Esposito et al.   MATHEMATISCHE ANNALEN

Sign-Changing Blow-Up for Scalar Curvature Type Equations

(2012) Frédéric Robert et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

A note on the uniqueness of solutions for the Yamabe problem

(2012) L. L. de Lima et al.   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Large energy entire solutions for the Yamabe equation

(2011) Manuel del Pino et al.   JOURNAL OF DIFFERENTIAL EQUATIONS