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7 papers · 2 filters
Blow up solutions for Sinh-Gordon equation with residual mass
Weiwei Ao, Aleks Jevnikar, Wen Yang
We are concerned with the Sinh-Gordon equation in bounded domains. We construct blow up solutions with residual mass exhibiting either partial or asymmetric blow up, i.e. where bot…
Existence results for a super-Liouville equation on compact surfaces
Aleks Jevnikar, Andrea Malchiodi, Ruijun Wu
We are concerned with a super-Liouville equation on compact surfaces with genus larger than one, obtaining the first non-trivial existence result for this class of problems via min…
A tool for symmetry breaking and multiplicity in some nonlocal problems
Roberta Musina, Alexander I. Nazarov
We prove some basic inequalities relating the Gagliardo-Nirenberg seminorms of a symmetric function on and of its perturbation , where is a suitably c…
Doubling Inequality at the Boundary for the Kirchhoff -- Love Plate's Equation with Dirichlet Conditions
Antonino Morassi, Edi Rosset, Sergio Vessella
The main result of this paper is a doubling inequality at the boundary for solutions to the Kirchhoff-Love isotropic plate's equation satisfying homogeneous Dirichlet conditions. T…
Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data
Daniele Bartolucci, Aleks Jevnikar, Youngae Lee +1
We are concerned with the mean field equation with singular data on bounded domains. Under suitable non-degeneracy conditions we prove local uniqueness and non-degeneracy of bubbli…
Conditional stability for backward parabolic operators with Osgood continuous coefficients
Daniele Casagrande, Daniele Del Santo, Martino Prizzi
We prove continuous dependence on initial data for a backward parabolic operator whose leading coefficients are Osgodd continuous in time. This result fills the gap between uniquen…