Search Results - "Molinarolo, Riccardo"
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1
Existence of solutions for a singularly perturbed nonlinear non-autonomous transmission problem
Published in Electronic journal of differential equations (22-04-2019)“…In this article we analyze a boundary value problem for the Laplace equation with a nonlinear non-autonomous transmission conditions on the boundary of a small…”
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2
A General Integral Identity with Applications to a Reverse Serrin Problem
Published in The Journal of geometric analysis (01-08-2024)“…We prove a new general differential identity and an associated integral identity, which entails a pair of solutions of the Poisson equation with constant…”
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3
Existence result for a nonlinear mixed boundary value problem for the heat equation
Published in Journal of mathematical analysis and applications (01-03-2025)“…In this paper we study the existence of solutions in parabolic Schauder space of a nonlinear mixed boundary value problem for the heat equation in a perforated…”
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4
Radial solutions for a dynamic debonding model in dimension two
Published in Nonlinear analysis (01-06-2022)“…In this paper we deal with a debonding model for a thin film in dimension two, where the wave equation on a time-dependent domain is coupled with a flow rule…”
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5
Local uniqueness of the solutions for a singularly perturbed nonlinear nonautonomous transmission problem
Published in Nonlinear analysis (01-02-2020)“…We consider the Laplace equation in a domain of Rn, n≥3, with a small inclusion of size ϵ. On the boundary of the inclusion we define a nonlinear nonautonomous…”
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6
On the wave equation on moving domains: regularity, energy balance and application to dynamic debonding
Published in Interfaces and free boundaries (01-09-2023)“…We revisit some issues about existence and regularity for the wave equation in noncylindrical domains. Using a method of diffeomorphisms we show, through…”
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7
Existence result for a nonlinear mixed boundary value problem for the heat equation
Published 26-06-2024“…In this paper we study the existence of solutions in parabolic Schauder space of a nonlinear mixed boundary value problem for the heat equation in a perforated…”
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8
Nonlinear Transmission Problems for the Laplace Operator : a Functional Analytic Approach
Published 01-01-2019“…This dissertation is devoted to the study of two nonlinear nonautonomous transmission boundary value problems for the Laplace operator in perturbed domains…”
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Dissertation -
9
Existence of solutions for a singularly perturbed nonlinear non-autonomous transmission problem
Published 22-11-2022“…Electron. J. Differential Equations, Vol. 2019 (2019), No. 53, pp. 1-29 In this paper we analyse a boundary value problem for the Laplace equation with a…”
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10
A general integral identity with applications to a reverse Serrin problem
Published 05-02-2024“…We prove a new general differential identity and an associated integral identity, which entails a pair of solutions of the Poisson equation with constant…”
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11
Existence results for a nonlinear nonautonomus transmission problem via domain perturbation
Published 23-11-2022“…Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 152(6), 2022, pp. 1451-1476 In this paper we study the existence and the analytic…”
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12
Local uniqueness of the solutions for a singularly perturbed nonlinear nonautonomous transmission problem
Published 23-11-2022“…Nonlinear Analysis 191 (2020) 111645 We consider the Laplace equation in a domain of $\mathbb{R}^n$, $n\ge 3$, with a small inclusion of size $\epsilon$. On…”
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13
Shape perturbation of a nonlinear mixed problem for the heat equation
Published 17-06-2024“…We consider the heat equation in a domain that has a hole in its interior. We impose a Neumann condition on the exterior boundary and a nonlinear Robin…”
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14
Multi-parameter perturbations for the space-periodic heat equation
Published 14-09-2023“…This paper is divided into three parts. The first part focuses on periodic layer heat potentials, demonstrating their smooth dependence on regular…”
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15
Radial solutions for a dynamic debonding model in dimension two
Published 09-12-2020“…In this paper we deal with a debonding model for a thin film in dimension two, where the wave equation on a time-dependent domain is coupled with a flow rule…”
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16
On the wave equation on moving domains: regularity, energy balance and application to dynamic debonding
Published 07-03-2022“…We revisit some issues about existence and regularity for the wave equation in noncylindrical domains. Using a method of diffeomorphisms, we show how, through…”
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Journal Article