Anti-self-dual lagrangians : variational resolutions of non-self-adjoint equations and dissipative evolutions
(A,O)-эллиптические уравнения со слабым вырождением
Applications of the bifurcation theory to evaluating critical conditions of the thermal explosion
Approximation of the resonance boundary-value problems of elliptic type with a discontinuous nonlinearity.
Approximations de type Hedberg dans les espaces et applications
Asymptotic analysis of a nonlinear partial differential equation in a semicylinder
Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
Asymptotic behavior of nonlinear systems in varying domains with boundary conditions on varying sets
For a fixed bounded open set , a sequence of open sets and a sequence of sets , we study the asymptotic behavior of the solution of a nonlinear elliptic system posed on , satisfying Neumann boundary conditions on and Dirichlet boundary conditions on . We obtain a representation of the limit problem which is stable by homogenization and we prove that this representation depends on and locally.
Asymptotic behavior of solutions of semilinear elliptic equations on an unbounded strip.
Asymptotic behaviour and correctors for Dirichlet problems in perforated domains with homogeneous monotone operators
Asymptotic behaviour, nodal lines and symmetry properties for solutions of superlinear elliptic equations near an eigenvalue
We give the precise behaviour of some solutions of a nonlinear elliptic B.V.P. in a bounded domain when a parameter approaches an eigenvalue of the principal part. If the nonlinearity has some regularity and the domain is for example convex, we also prove a nonlinear version of Courant’s Nodal theorem.
Asymptotic behaviour, nodal lines and symmetry properties for solutions of superlinear elliptic equations near an eigenvalue
We give the precise behaviour of some solutions of a nonlinear elliptic B.V.P. in a bounded domain when a parameter approaches an eigenvalue of the principal part. If the nonlinearity has some regularity and the domain is for example convex, we also prove a nonlinear version of Courant's Nodal theorem.
Asymptotic behaviour of solutions and their derivatives, for semilinear elliptic problems with blowup on the boundary
Asymptotically Linear Elliptic Boundary Value Problems.
Asymptotics for quasilinear equations with nearly critical growth.
Barriers on cones for degenerate quasilinear elliptic operators.
Behaviour of the first eigenvalue of the p-Laplacian in a domain with a hole
We investigate the behaviour of a sequence , s = 1,2,..., of eigenvalues of the Dirichlet problem for the p-Laplacian in the domains , s = 1,2,..., obtained by removing from a given domain Ω a set whose diameter vanishes when s → ∞. We estimate the deviation of from the eigenvalue of the limit problem. For the derivation of our results we construct an appropriate asymptotic expansion for the sequence of solutions of the original eigenvalue problem.
"Best possible'' maximum principles
Bifurcation and multiplicity results for a nonhomogeneous semilinear elliptic problem.
Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents