Results 21 to 30 of about 1,022 (104)
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
A stochastic differential game for the inhomogeneous ∞-Laplace equation [PDF]
, 2008 Given a bounded C 2 domain GR m and functions g 2 C(@G, R) and h 2 C( ¯ G, R \ {0}), let u denote the unique viscosity solution to the equation 2 ∞u = h in G with boundary data g.
R. Atar, A. Budhiraja
semanticscholar +1 more source
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
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
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
Extremal metrics for Laplace eigenvalues in perturbed conformal classes on products [PDF]
, 2019 In this short note, we prove that conformal classes which are small perturbations of a product conformal class on a product with a standard sphere admit a metric extremal for some Laplace eigenvalue. As part of the arguments, we obtain perturbed harmonic
Matthiesen, H.
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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
Dynamic systems and applications, 2018 In this paper we study the dynamics of global attractor of a semilinear parabolic equation involving Grushin operators. First we show that the global attractor is bounded in L(Ω) and D(A).
Jihoon Lee
semanticscholar +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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