Results 31 to 40 of about 2,036 (120)
Regularity and Bernstein-type results for nonlocal minimal surfaces [PDF]
, 2013 We prove that, in every dimension, Lipschitz nonlocal minimal surfaces are smooth. Also, we extend to the nonlocal setting a famous theorem of De Giorgi stating that the validity of Bernstein's theorem in dimension $n+1$ is a consequence of the ...
Figalli, Alessio, Valdinoci, Enrico
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Well‐posedness and regularity results for a dynamic Von Kármán plate
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 2, Page 237-244, 1995., 1994 We consider the problem of well‐posedness and regularity of solutions for a dynamic von Kármán plate which is clamped along one portion of the boundary and which experiences boundary damping through free edge conditions on the remainder of the boundary.
M. E. Bradley
wiley +1 more source
Remarks on the existence and decay of the nonlinear beam equation
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 409-412, 1994., 1993 We will consider a class of nonlinear beam equation and we will prove the existence and decay weak ...
Jaime E. Mũnoz Rivera
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Biharmonic eigen‐value problems and Lp estimates
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 3, Page 469-480, 1990., 1989 Biharmonic eigen‐values arise in the study of static equilibrium of an elastic body which has been suitably secured at the boundary. This paper is concerned mainly with the existence of and Lp‐estimates for the solutions of certain biharmonic boundary value problems which are related to the first eigen‐values of the associated biharmonic operators. The
Chaitan P. Gupta, Ying C. Kwong
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Eigenfunction expansions of ultradifferentiable functions and ultradistributions in ℝⁿ [PDF]
, 2016 We obtain a characterization of ${\mathcal S}^{\{M_p\}}_{\{M_p\}}(\mathbb{R}^n)$ and $\mathcal {S}^{(M_p)}_{(M_p)}(\mathbb{R}^n)$, the general Gelfand-Shilov spaces of ultradifferentiable functions of Roumieu and Beurling type, in terms of decay ...
Vindas Diaz, Jasson, Vuckovic, Dorde
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A Short Proof of H\"older Continuity for Functions in DeGiorgi Classes
, 2017 The goal of this note is to give an alternative proof of local H\"older continuity for functions in DeGiorgi classes based on an idea of Moser.Comment: 5 ...
Klaus, Colin, Liao, Naian
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Intrinsic Harnack estimates for some doubly nonlinear degenerate parabolic equations
Advances in Differential Equations, 2008 We prove an intrinsic Harnack inequality for non-negative local weak solutions of a wide class of doubly nonlinear degenerate parabolic equations whose prototype is ut − div(u|Du|Du) = 0, p > 2, m > 1.
S. Fornaro, M. Sosio
semanticscholar +1 more source
On a result by Boccardo-Ferone-Fusco-Orsina
, 2011 Via a symmetric version of Ekeland's principle recently obtained by the author we improve, in a ball or an annulus, a result of Boccardo-Ferone-Fusco-Orsina on the properties of minimizing sequences of functionals of calculus of variations in the non ...
Squassina, Marco
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Addendum: Local Elliptic Regularity for the Dirichlet Fractional Laplacian
Advanced Nonlinear Studies, 2017 In [1], for ...
Biccari Umberto +2 more
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Lipschitz estimates for partial trace operators with extremal Hessian eigenvalues
Advances in Nonlinear Analysis, 2022 We consider the Dirichlet problem for partial trace operators which include the smallest and the largest eigenvalue of the Hessian matrix. It is related to two-player zero-sum differential games. No Lipschitz regularity result is known for the solutions,
Vitolo Antonio
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