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On the heat kernel of a class of fourth order operators in two dimensions: sharp Gaussian estimates and short time
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*Submitted*- (with S. Filippas and A. Tertikas) Sharp Hardy and Hardy-Sobolev inequalities with point singularities on the boundary
*J. Math. Pures Appl., to appear*- Gaussian estimates with best constants for higher-order Schrödinger operators with Kato potentials
*Proc. Amer. Math. Soc.*145 (2017) 191-200- (with P.D. Lamberti) Monotonicity, continuity and differentiability results for the
*L*Hardy constant^{p}*Israel Journal of Mathematics*215 (2016) 1011-1024- (with A. Tertikas) On the Hardy constant of some non-convex planar domains
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*`Geometric Methods in PDE's'*, Springer INdAM Series, Citti, G., Manfredini, M., Morbidelli, D., Polidoro, S., Uguzzoni, F. (eds.), Springer 2015- (with I.G. Stratis and A.N. Yannacopoulos) Homogenization of random elliptic systems with an application to Maxwell's equations
*Math. Models Methods Appl. Sci.*25 (2015) 1365-1388- (with P.D. Lamberti) Shape sensitivity analysis of the Hardy constant
*Nonlinear Analysis*103 (2014) 98-112- (with A. Tertikas) On the Hardy constant of non-convex planar domains: the case of the quadrilateral
*J. Funct. Anal.*266 (2014) 3701-3725- (with F. Gazzola) Higher order linear parabolic equations
*Contemporary Mathematics*594 (2013) 77-97- (with J.M. Arrieta) Stability estimates in
*H*^{1}_{0}for solutions of elliptic equations in varying domains*Math. Methods Appl. Sci.*37 (2014) 180-186- (with P.D. Lamberti) Spectral stability estimates for elliptic operators subject to domain transformations with non-uniformly bounded gradients
*Mathematika*58 (2012) 324-348- (with V. Burenkov and P.D. Lamberti) Stability estimates for resolvents, eigenvalues and eigenfunctions of elliptic operators on variable domains
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*`Around the Research of Vladimir Maz'ya II'*, International Mathematical Series, Laptev A. (ed.), Vol 12, Springer 2010- (with L. Parnovski) Bethe-Sommerfeld conjecture for pseudodifferential perturbation
*Comm. Partial Differential Equations*34 (2009) 383-418- Boundary decay estimates for solutions of fourth-order elliptic equations
*Ark. Mat.*45 (2007) 197-219- Best constants for higher-order Rellich inequalities in
*L*(^{p}*Ω*)*Math. Z.*255 (2007) 877-896- Trace estimates and invariance of the essential spectrum
*Arch. Math. (Basel)*87 (2006) 343-349- Improved Rellich inequalities for the polyharmonic operator
*Indiana Univ. Math. J.*55 (2006) 1401-1422- (with A. Tertikas) On a class of Rellich inequalities
*J. Comp. Appl. Math.*194 (2006) 156-172- (with I. Stratis) Homogenization in chiral elasticity. In:
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- Sharp heat kernel estimates for higher-order operators with singular coefficients
*Proc. Edinburgh Math. Soc.*47 (2004) 53-67- (with S. Filippas and A. Tertikas) Critical heat kernel estimates for Schrödinger operators via Hardy-Sobolev inequalities
*J. Funct. Anal.*208 (2004) 1-30- (with I. Stratis) Homogenization of Maxwell's equations in linear dispersive bianisotropic media.
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- (with S. Filippas and A. Tertikas) Refined geometric
*L*Hardy inequalities^{p}*Commun. Contemp. Math.*5 (2003) 869-881- (with I. Stratis) Homogenization of Maxwell's equations in dissipative bianisotropic media
*Math. Methods Appl. Sci.*26 (2003) 1241-1253- (with S. Filippas and A. Tertikas) Series expansion for
*L*Hardy inequalities^{p}*Indiana Univ. Math. J.*52 (2003) 171-190- (with S. Filippas and A. Tertikas) A unified approach to improved
*L*Hardy inequalities with best constants^{p}*Trans. Amer. Math. Soc.*356 (2004) 2169-2196- Explicit estimates on the fundamental solution of higher-order parabolic equations with measurable coefficients
*J. Differential Equations*174 (2001) 442-463- On the approximation of Finsler metrics on Euclidean domains
*Proc. Edinburgh Math. Soc.*42 (1999) 589-609- Stability and regularity of higher-order elliptic operators with measurable coefficients
*J. London Math. Soc.*58 (1998) 242-252- Spectral theory of singular elliptic operators with measurable coefficients
*J. Funct. Anal.*155 (1998) 125-152- Sharp heat kernel bounds and Finsler-type metrics
*Quart. J. Math. Oxford Ser.*49 (1998) 261-277- (with E.B. Davies) Sharp bounds on heat kernels of higher order uniformly elliptic operators
*J. Operator Theory*36 (1996) 179-198- Stability of weighted Laplace-Beltrami operators under
*L*- perturbation of the Riemannian metric^{p}*J. Anal. Math.*68 (1996) 253-276- Spectral stability under
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