548 citations
- Universidade de São PauloBR19 papers
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- National High Magnetic Field LaboratoryUS8 papers
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- Argonne National LaboratoryUS6 papers
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- Indiana University BloomingtonUS6 papers
- Institute for High Energy PhysicsES6 papers
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7 papers · 1 filter
A Caffarelli-Kohn-Nirenberg type inequality on Riemannian Manifolds
Yuri Bozhkov
We establish a generalization to Riemannian manifolds of the Caffarelli-Kohn-Nirenberg inequality. The applied method is based on the use of conformal Killing vector fields and Enz…
Symmetry Coefficients of Semilinear Partial Differential Equations
Igor Leite Freire, Antonio Carlos Gilli Martins
We show that for any semilinear partial differential equation of order m, the infinitesimals of the independent variables depend only on the independent variables and, if m>1 and t…
Stable solutions for the bilaplacian with exponential nonlinearity
Juan Davila, Louis Dupaigne, Ignacio Guerra +1
Let denote the largest possible value of such that \begin{align*} \left\{\begin{aligned} Δ^2 u & = \la e^u && \text{in } u &= \pd{u}{n} = 0 && \text{on $ \pa B $} \…
Solutions to the nonlinear Schroedinger equation carrying momentum along a curve. Part I: study of the limit set and approximate solutions
Fethi Mahmoudi, Andrea Malchiodi, Marcelo Montenegro
We prove existence of a special class of solutions to the (elliptic) Nonlinear Schroeodinger Equation , on a manifold or in the Euclidean space. Here…
Noether Symmetries and Conservations Laws For Non-critical Kohn-Laplace Equations on Three-Dimensional Heisenberg Group
Igor Leite Freire
We show which Lie point symmetries of non-critical semilinear Kohn-Laplace equations on the Heisenberg group are Noether symmetries and we establish their respectives conserv…
Group Classification of Semilinear Kohn-Laplace Equations
Yuri Bozhkov, Igor Leite Freire
We study the Lie point symmetries of semilinear Kohn-Laplace equations on the Heisenberg group H^1 and obtain a complete group classification of these equations.