Search Results - "Monticelli, Dario D."
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Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds
Published in Mathematische annalen (01-04-2017)“…We are concerned with nonexistence results of nonnegative weak solutions for a class of quasilinear parabolic problems with a potential on complete noncompact…”
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2
The Poisson equation on manifolds with positive essential spectrum
Published in Calculus of variations and partial differential equations (01-08-2019)“…We show existence of solutions to the Poisson equation on Riemannian manifolds with positive essential spectrum, assuming a sharp pointwise decay on the source…”
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3
Nonexistence of solutions to quasilinear parabolic equations with a potential in bounded domains
Published in Calculus of variations and partial differential equations (01-02-2022)“…We are concerned with nonexistence results for a class of quasilinear parabolic differential problems with a potential in Ω × ( 0 , + ∞ ) , where Ω is a…”
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4
An extension problem for the CR fractional Laplacian
Published in Advances in mathematics (New York. 1965) (22-01-2015)“…We show that the conformally invariant fractional powers of the sub-Laplacian on the Heisenberg group are given in terms of the scattering operator for an…”
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Variational Characterizations of Weak Solutions to the Dirichlet Problem for Mixed-Type Equations
Published in Communications on pure and applied mathematics (01-09-2015)“…For linear and nonlinear second‐order partial differential equations of mixed elliptic‐hyperbolic type, we prove that weak solutions to the Dirichlet problem…”
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6
On the Dirichlet Problem of Mixed Type for Lower Hybrid Waves in Axisymmetric Cold Plasmas
Published in Archive for rational mechanics and analysis (01-07-2015)“…For a class of linear second order partial differential equations of mixed elliptic-hyperbolic type, which includes a well known model for analyzing possible…”
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7
On conformally invariant equations on -II. Exponential invariance
Published in Nonlinear analysis (01-09-2012)“…In this paper we provide a complete characterization of fully nonlinear differential operators of any integer order on R n , which exhibit conformal invariance…”
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8
Spectral Theory for Linear Operators of Mixed Type and Applications to Nonlinear Dirichlet Problems
Published in Communications in partial differential equations (01-09-2012)“…For a class of linear partial differential operators L of mixed elliptic-hyperbolic type in divergence form with homogeneous Dirichlet data on the entire…”
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On the critical p-Laplace equation
Published in Advances in mathematics (New York. 1965) (15-11-2023)“…In this paper we provide the classification of positive solutions to the critical p-Laplace equation on Rn, for 1<p<n, possibly having infinite energy. If n=2,…”
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10
Rigidity of critical metrics for quadratic curvature functionals
Published in Journal de mathématiques pures et appliquées (01-03-2023)“…In this paper we prove new rigidity results for complete, possibly non-compact, critical metrics of the quadratic curvature functionals…”
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11
Existence and spectral theory for weak solutions of Neumann and Dirichlet problems for linear degenerate elliptic operators with rough coefficients
Published in Journal of Differential Equations (15-10-2015)“…In this paper we study existence and spectral properties for weak solutions of Neumann and Dirichlet problems associated with second order linear degenerate…”
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12
The Poisson equation on Riemannian manifolds with weighted Poincaré inequality at infinity
Published in Annali di matematica pura ed applicata (01-04-2021)“…We prove an existence result for the Poisson equation on non-compact Riemannian manifolds satisfying weighted Poincaré inequalities outside compact sets. Our…”
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On the geometry of gradient Einstein-type manifolds
Published in Pacific journal of mathematics (01-01-2017)Get full text
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14
A note on curvature of Riemannian manifolds
Published in Journal of mathematical analysis and applications (15-03-2013)“…With the aid of the weak maximum principle at infinity we give some sufficient conditions for Riemannian manifolds to be either Einstein or of constant…”
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15
Maximum principles for weak solutions of degenerate elliptic equations with a uniformly elliptic direction
Published in Journal of Differential Equations (01-10-2009)“…For second order linear equations and inequalities which are degenerate elliptic but which possess a uniformly elliptic direction, we formulate and prove weak…”
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16
On conformally invariant equations on
Published in Nonlinear analysis (01-01-2014)Get full text
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17
A variational characterization of flat spaces in dimension three
Published in Pacific journal of mathematics (01-06-2016)Get full text
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18
Fredholm properties and nonlinear Dirichlet problems for mixed type operators
Published in Journal of mathematical analysis and applications (15-01-2013)“…For a class of linear partial differential operators of mixed elliptic–hyperbolic type with homogeneous Dirichlet data on the entire boundary of suitable…”
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19
On conformally invariant equations on Rn-II. Exponential invariance
Published in Nonlinear analysis (01-09-2012)“…In this paper we provide a complete characterization of fully nonlinear differential operators of any integer order on Rn, which exhibit conformal invariance…”
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20
On conformally invariant equations on Rn
Published in Nonlinear analysis (01-01-2014)“…In this paper we provide a complete characterization of fully nonlinear conformally invariant differential operators of any integer order on Rn, which extends…”
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