Browsing by Author "Felmer Aichele, Patricio"
Now showing items 1-17 of 17
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Dolbeault, Jean; Felmer Aichele, Patricio; Mayorga Zambrano, J. (SPRINGER, 2008-09)Interpolation inequalities of Gagliardo-Nirenberg type and compactness results for self-adjoint trace-class operators with finite kinetic energy are established. Applying these results to the minimization of various free ...
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Felmer Aichele, Patricio; Topp Paredes, Erwin (2013)In this article we study various convergence results for a class of nonlinear fractional heat equations of the form ⎧⎨ ⎩ ut(t, x)− I[u(t, ·)](x) = f(t, x), (t, x) ∈ (0, T) × Rn, u(0, x) = u0(x), x∈ Rn, where I is a ...
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Existence and nonexistence of positive solutions to some fully nonlinear equation in one dimension Felmer Aichele, Patricio; Ikoma, Norihisa (Academic Press Inc., 2018)In this paper, we consider the existence (and nonexistence) of solutions to −Mλ,Λ ±(u″)+V(x)u=f(u)inR where Mλ,Λ + and Mλ,Λ − denote the Pucci operators with 0<λ≤Λ<∞ V(x) is a bounded function, f(s) is a continuous ...
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Felmer Aichele, Patricio; Yangari, Miguel (Society for Industrial and Applied Mathematics, 2013)In this paper we study the large-time behavior of solutions of one-dimensional fractional Fisher-KPP reaction-diffusion equations, when the initial condition is asymptotically frontlike and it decays at infinity more ...
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Felmer Aichele, Patricio; Quaas, Alexander (Elsevier, 2011)In this article we study basic properties for a class of nonlinear integral operators related to their fundamental solutions. Our goal is to establish Liouville type theorems: non-existence theorems for positive entire ...
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Felmer Aichele, Patricio; Quaas, Alexander; Tan, Jinggang (ELSEVIER, 2010)We study the existence of positive radially symmetric solutions to a class of nonlinear elliptic problems involving extremal operators and nonlinearity of exponential or polynomial type. According to the values of a ...
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Felmer Aichele, Patricio; Laire, André de; Martínez Salazar, Salomé; Tanaka, Kuzanaga (IOP PUBLISHING LTD, 2013-04-15)In this article we study the existence and asymptotic profiles of high-energy rotation type solutions of the singularly perturbed forced pendulum equation ε2u ε + sin uε = ε2α(t)uε in (−L, L). We prove that the ...
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High frequency solutions for the singularly-perturbed one-dimensional nonlinear Schrodinger equation Felmer Aichele, Patricio; Martínez Salazar, Salomé; Tanaka, Kazunaga (SPRINGER, 2006-10)This article is devoted to the nonlinear Schrodinger equation epsilon(2)u'' - V(x)u + vertical bar u vertical bar(p-1)u = 0, when the parameter epsilon approaches zero. All possible asymptotic behaviors of bounded ...
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Felmer Aichele, Patricio; Martínez Salazar, Salomé; Tanaka, Kazunaga (CAMBRIDGE UNIV PRESS, 2006-04)In this article we study the asymptotic dynamics of highly oscillatory solutions for the unbalanced Allen-Cahn equation with a slowly varying coefficient. We describe the underlying structure of these solutions through a ...
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Felmer Aichele, Patricio; dos Prazeres, Disson; Topp, Erwin (Springer New York LLC, 2018)In this article we are interested in interior regularity results for the solution μ∈∈ C(Ω¯) of the Dirichlet problem {μ=0inΩc,I∈(μ)=f∈inΩ where Ω is a bounded, open set and f∈∈ C(Ω¯) for all є ∈ (0, 1). For some σ ∈ (0, ...
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Felmer Aichele, Patricio; Quaas, Alexander; Sirakov, Boyan (2009-10-23)
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Chen, Huyuan; Felmer Aichele, Patricio (Elsevier, 2013)
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Felmer Aichele, Patricio; Quaas, Alexander; Tang, Moxun (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2006-07-01)In this article we study uniqueness of positive solutions for the nonlinear uniformly elliptic equation M-lambda(+),(Lambda)(D(2)u) - u + u(P) = 0 in R-N, lim(r ->infinity) u(r) = 0, where M-lambda(,Lambda)+ (D(2)u) denotes ...
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Felmer Aichele, Patricio; Quaas, Alexander (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2004-05-20)In this article we prove existence of positive radially symmetric solutions for the nonlinear elliptic equation M-lambda,Delta(+)(D(2)u) - gammau + f(u) = 0 in B-R, u = 0 on partial derivativeB(R), where M-lambda,Delta(+) ...
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Felmer Aichele, Patricio; Wang, Ying (American Institute of Mathematical Sciences, 2019)This paper is concerned with the qualitative properties of the solutions of mixed integro-differential equation (equation presented) with N ≥ 1, M ≥ 1 and ϵ 2 (0; 1). We study decay and symmetry properties of the solutions ...
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Esteban, María J.; Felmer Aichele, Patricio; Quaas, Alexander (2010)In this paper we deal with existence and uniqueness of solution to the fully nonlinear equation −F(D2u) + |u|s−1u = f(x) in IRn, where s > 1 and f satisfies only local integrability conditions. This result is well known ...
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Felmer Aichele, Patricio; Martínez Salazar, Salomé; Tanaka, Kazunaga (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008-09-01)In this article we prove that the semi-linear elliptic partial differential equation -Delta u + u = u(p) in Omega u > 0 in Omega. u = 0 on partial derivative Omega possesses a unique positive radially symmetric ...