Search Results - "Ghimenti, Marco G"
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Compactness and blow up results for doubly perturbed Yamabe problems on manifolds with non umbilic boundary
Published in Electronic research archive (01-01-2022)“…We study the stability of compactness of solutions for the Yamabe boundary problem on a compact Riemannian manifold with non umbilic boundary. We prove that…”
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A compactness result for scalar-flat metrics on low dimensional manifolds with umbilic boundary
Published in Calculus of variations and partial differential equations (01-06-2021)“…Let ( M , g ) be a compact Riemannian n -dimensional manifold with umbilic boundary It is well know that, under certain hypothesis, in the conformal class of…”
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3
Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains
Published in Nonlinear differential equations and applications (01-03-2023)“…This paper is devoted to study a fractional Choquard problem with slightly subcritical exponents on bounded domains. When the exponent of the convolution type…”
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4
Multiple solutions and profile description for a nonlinear Schrödinger–Bopp–Podolsky–Proca system on a manifold
Published in Calculus of variations and partial differential equations (01-12-2022)“…We prove a multiplicity result for - ε 2 Δ g u + ω u + q 2 ϕ u = | u | p - 2 u - Δ g ϕ + a 2 Δ g 2 ϕ + m 2 ϕ = 4 π u 2 in M , where ( M , g ) is a smooth and…”
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5
Yamabe boundary problem with scalar-flat manifolds target
Published in Electronic journal of differential equations (27-03-2023)“…We present a survey on the compactness of the set of solutions for the Yamabe problem on manifolds with boundary. The stability of the problem is also…”
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6
Compactness and blow up results for doubly perturbed Yamabe problems on manifolds with umbilic boundary
Published in Nonlinear analysis (01-04-2023)“…Given a compact Riemannian manifold with umbilic boundary, the Yamabe boundary problem studies if there exist conformal scalar-flat metrics such that ∂M has…”
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7
Blowing-up solutions for supercritical Yamabe problems on manifolds with umbilic boundary
Published in Journal of Differential Equations (05-02-2022)“…We build blowing-up solutions for a supercritical perturbation of the Yamabe problem on manifolds with umbilic boundary, provided the dimension of the manifold…”
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8
Multiple solutions and profile description for a nonlinear Schr\"odinger-Bopp-Podolsky-Proca system on a manifold
Published 19-07-2022“…We prove a multiplicity result for \begin{equation*} \begin{cases} -\varepsilon^{2}\Delta_g u+\omega u+q^{2}\phi u=|u|^{p-2}u\\[1mm] -\Delta_g \phi…”
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9
Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains
Published 06-02-2023“…This paper is devoted to study a fractional Choquard problem with slightly subcritical exponents on bounded domains. When the exponent of the convolution type…”
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10
Compactness and blow up results for doubly perturbed Yamabe problems on manifolds with non umbilic boundary
Published 08-12-2021“…We study the stability of compactness of solutions for the Yamabe boundary problem on a compact Riemannian manifold with non umbilic boundary. We prove that…”
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11
Blowing up solutions for supercritical Yamabe problems on manifolds with non umbilic boundary
Published 17-09-2020“…We build blowing-up solutions for a supercritical perturbation of the Yamabe problem on manifolds with boundary, provided the dimension of the manifold is n>6…”
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12
Blowing up solutions for supercritical Yamabe problems on manifolds with umbilic boundary
Published 01-09-2020“…We build blowing-up solutions for a supercritical perturbation of the Yamabe problem on manifolds with umbilic boundary provided the dimension of the manifold…”
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13
A compactness result for scalar-flat metrics on low dimensional manifolds with umbilic boundary
Published 01-09-2020“…Let (M,g) a compact Riemannian $n$-dimensional manifold with umbilic boundary. It is well know that, under certain hypothesis, in the conformal class of g…”
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14
Construction of solutions for a nonlinear elliptic problem on Riemannian manifolds with boundary
Published 31-10-2014“…Let (M,g) be a smooth compact, n dimensional Riemannian manifold,with smooth n-1 dimensional boundary. We prove that the stable critical points of the mean…”
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15
Geodesics in Conical Manifolds
Published 26-12-2010“…Topol. Methods Nonlinear Anal. 25 (2005), no. 2, 235-261 The aim of this paper is to extend the definition of geodesics to conical manifolds, defined as…”
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16
Morse Theory for Geodesics in Conical Manifolds
Published 26-12-2010“…Mediterr. J. Math. 4 (2007), no. 2, 229-244 The aim of this paper is to extend the Morse theory for geodesics to the conical manifolds. We define these…”
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17
Positive solutions for singularly perturbed nonlinear elliptic problem on manifolds via Morse theory
Published 27-12-2010“…Given (M, g0) we consider the problem -{\epsilon}^2Delta_{g0+h}u + u = (u+)^{p-1} with ({\epsilon}, h) \in (0, {\epsilon}0) \times B{\rho}. Here B{\rho} is a…”
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18
On the number of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifolds
Published 27-12-2010“…Electronic Journal of Differential Equations, Conference 18 (2010), pp. 15-22 We consider the problem -{\epsilon}^2\Delta_gu+u = |u|^{p-2}u in M, where (M,g)…”
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19
Semiclassical limit for the nonlinear Klein Gordon equation in bounded domains
Published 27-12-2010“…Adv. Nonlinear Stud. 9 (2009), no. 1, 137-147 We are interested to the existence of standing waves for the nonlinear Klein Gordon equation…”
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20
Periodic orbits of a one dimensional non autonomous Hamiltonian system
Published 27-12-2010“…J. Differential Equations 230 (2006), no. 1, 275-294 In this paper we study the properties of the periodic orbits of \"x + V'_x(t, x) = 0 with x \in S1 and…”
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