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6 papers · 2 filters
Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary
Luca Battaglia, Aleks Jevnikar, Zhi-An Wang +1
We study conformal metrics with prescribed Gaussian curvature on surfaces with conical singularities and geodesic boundary in supercritical regimes. Exploiting a variational argume…
Liouville type theorems and periodic solutions for the nonhomogeneous parabolic systems
Aleks Jevnikar, Jun Wang, Wen Yang
In the present paper we derive Liouville type results and existence of periodic solutions for type systems with non-homogeneous nonlinearities. Moreover, we prove both un…
New universal estimates for free boundary problems arising in plasma physics
Daniele Bartolucci, Aleks Jevnikar
For a smooth and bounded domain, we derive a sharp universal energy estimate for non-negative solutions of free boundary problems on arising in plasma p…
On the uniqueness and monotonicity of solutions of free boundary problems
Daniele Bartolucci, Aleks Jevnikar
For any smooth and bounded domain, we prove uniqueness of positive solutions of free boundary problems arising in plasma physics on in a neat interval d…
Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures
Aleks Jevnikar, Rafael López-Soriano, María Medina +1
This paper is concerned with the compactness of metrics of the disk with prescribed Gaussian and geodesic curvatures. We consider a blowing-up sequence of metrics and give a precis…
Existence results for super-Liouville equations on the sphere via bifurcation theory
Aleks Jevnikar, Andrea Malchiodi, Ruijun Wu
We are concerned with super-Liouville equations on the two sphere, which have variational structure with a strongly-indefinite functional. We prove the existence of non-trivial sol…