Search Results - "Del Pezzo, L."
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1
Some Optimization Problems for p-Laplacian Type Equations
Published in Applied mathematics & optimization (01-06-2009)“…In this paper we study some optimization problems for nonlinear elastic membranes. More precisely, we consider the problem of optimizing the cost functional…”
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2
Monotonicity of solutions for some nonlocal elliptic problems in half-spaces
Published in Calculus of variations and partial differential equations (01-04-2017)“…In this paper we consider classical solutions u of the semilinear fractional problem ( - Δ ) s u = f ( u ) in R + N with u = 0 in R N \ R + N , where ( - Δ ) s…”
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3
Symmetry results in the half-space for a semi-linear fractional Laplace equation
Published in Annali di matematica pura ed applicata (01-10-2018)“…In this paper, we analyze the semi-linear fractional Laplace equation ( - Δ ) s u = f ( u ) in R + N , u = 0 in R N \ R + N , where R + N = { x = ( x ′ , x N )…”
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4
Monotonicity of solutions for some nonlocal elliptic problems in half-spaces
Published 11-11-2016“…Calc. Var. Partial Differential Equations 56 (2017), no. 2, 56:39 In this paper we consider classical solutions $u$ of the semilinear fractional problem…”
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5
Fujita exponent and blow-up rate for a mixed local and nonlocal heat equation
Published 02-08-2024“…In this paper we consider the blow-up problem for a mixed local-nonlocal diffusion operator, \[ u_t=a\Delta u -b(-\Delta)^s u+u^p. \] We show that the Fujita…”
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6
Optimization problem for extremals of the trace inequality in domains with holes
Published 01-09-2008“…Commun. Contemp. Math. 12 (2010), no. 4, 569-586 We study the Sobolev trace constant for functions defined in a bounded domain $\O$ that vanish in the subset…”
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7
A Liouville theorem for indefinite fractional diffusion equations and its application to existence of solutions
Published 16-05-2017“…Discrete Contin. Dyn. Syst. 37 (2017), no. 11, 5731 - 5746 In this work we obtain a Liouville theorem for positive, bounded solutions of the equation $$…”
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8
Symmetry results in the half space for a semi-linear fractional Laplace equation through a one-dimensional analysis
Published 09-04-2017“…In this paper we analyze the semi-linear fractional Laplace equation $$(-\Delta)^s u = f(u) \quad\text{ in } \mathbb{R}^N_+,\quad u=0 \quad\text{ in }…”
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9
An optimization problem for the first eigenvalue of the $p-$fractional laplacian
Published 12-01-2016“…In this paper we analyze an eigenvalue problem related to the nonlocal $p-$laplace operator plus a potential. After reviewing some elementary properties of the…”
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10
A priori bounds and existence of solutions for some nonlocal elliptic problems
Published 13-06-2015“…In this paper we show existence of solutions for some elliptic problems with nonlocal diffusion by means of nonvariational tools. Our proof is based on the use…”
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11
An optimal mass transport approach for limits of eigenvalue problems for the fractional $p$-Laplacian
Published 28-01-2015“…Adv. Nonlinear Anal. 2015, 4 (3), 235-249 We find interpretation using optimal mass transport theory for eigenvalue problems obtained as limits of the…”
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12
Interior penalty discontinuous Galerkin FEM for the $p(x)$-Laplacian
Published 10-09-2010“…SIAM Journal on Numerical Analysis, (2012), 50(5), 2497-2521 In this paper we construct an "Interior Penalty" Discontinuous Galerkin method to approximate the…”
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13
Some optimization problems for nonlinear elastic membranes
Published 14-01-2008“…In this paper we study some optimization problems for nonlinear elastic membranes. More precisely, we consider the problem of optimizing the cost functional…”
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