Results 21 to 30 of about 1,041 (107)
Integral Formulas for a Class of Curvature PDE'S and Application to Isoperimetric Inequalities and to Symmetry Problems [PDF]
, 2007 We prove integral formulas for closed hypersurfaces in C^(n+1); which furnish a relation between elementary symmetric functions in the eigenvalues of the complex Hessian matrix of the defining function and the Levi curvatures of the hypersurface. Then
Martino, Vittorio, Montanari, Annamaria
core +2 more sources
Ni-Serrin type equations arising from capillarity phenomena with non-standard growth
, 2013 In the present paper, in view of the variational approach, we discuss a Ni-Serrin type equation involving non-standard growth condition and arising from the capillarity phenomena.
M. Avci
semanticscholar +1 more source
Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations
Abstract and Applied Analysis, Volume 2004, Issue 3, Page 205-214, 2004., 2004 We prove an existence result for solution to a class of nonlinear degenerate elliptic equation associated with a class of partial differential operators of the form Lu(x)=∑i,j=1nDj(aij(x)Diu(x)), with Dj = ∂/∂xj, where aij : Ω → ℝ are functionssatisfying suitable hypotheses.
Albo Carlos Cavalheiro
wiley +1 more source
On some nonlinear elliptic systems with coercive perturbations in RN [PDF]
, 2003 A nonlinear elliptic system involving the p-Laplacian is considered in the whole RN: Existence of nontrivial solutions is obtained by applying critical point theory; also a regularity result is established.A nonlinear elliptic system involving the p ...
El Manouni, Said, Touzani, Abdelfattah
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Variational inequalities for energy functionals with nonstandard growth conditions
Abstract and Applied Analysis, Volume 3, Issue 1-2, Page 41-64, 1998., 1998 We consider the obstacle problem for a given function and a bounded Lipschitz domain O in Rn. The growth properties of the convex integrand G are described in terms of a N‐function A : [0, 8)?[0, 8) with . If n = 3, we prove, under certain assumptions on G, C1,8‐partial regularity for the solution to the above obstacle problem.
Martin Fuchs, Li Gongbao
wiley +1 more source
Flat solutions of the 1-Laplacian equation [PDF]
, 2017 For every $f \in L^N(\Omega)$ defined in an open bounded subset $\Omega$ of $\mathbb{R}^N$, we prove that a solution $u \in W_0^{1, 1}(\Omega)$ of the $1$-Laplacian equation ${-}\mathrm{div}{(\frac{\nabla u}{|\nabla u|})} = f$ in $\Omega$ satisfies ...
Orsina, Luigi, Ponce, Augusto C.
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A result on the bifurcation from the principal eigenvalue of the Ap‐Laplacian
Abstract and Applied Analysis, Volume 2, Issue 3-4, Page 185-195, 1997., 1997 We study the following bifurcation problem in any bounded domain Ω in ℝN: . We prove that the principal eigenvalue λ1 of the eigenvalue problem is a bifurcation point of the problem mentioned above.
P. Drábek, A. Elkhalil, A. Touzani
wiley +1 more source
Nonanalytic-hypoellipticity for some degenerate elliptic operators
, 1972 35J70; 35A05.
M. S. Baouendi, C. Goulaouic
semanticscholar +1 more source
Weak solutions of degenerated quasilinear elliptic equations of higher order
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 689-706, 1996., 1995 We prove the existence of weak solutions of higher order degenerated quasilinear elliptic equations. The main tools are the degree theory for generalized monotone mappings and imbedding theorems between weighted Sobolev spaces. The straightforward use of these imbeddings allows us to consider more general assumptions than those in our preceding paper ...
Pavel Drábek +2 more
wiley +1 more source
Multiple solutions for Neumann systems in an Orlicz-Sobolev space setting
, 2017 In this paper, the authors improve some results on the existence of at least three weak solutions for non-homogeneous systems. The proof of the main result relies on a recent variational principle due to Ricceri.
G. Afrouzi, J. Graef, S. Shokooh
semanticscholar +1 more source