An existence result for a semipositone problem with a sign changing weight.
An existence result for an interior electromagnetic casting problem
This paper deals with an interior electromagnetic casting (free boundary) problem. We begin by showing that the associated shape optimization problem has a solution which is of class C 2. Then, using the shape derivative and the maximum principle, we give a sufficient condition that the minimum obtained solves our problem.
An existence result for elliptic problems with singular critical growth.
An existence result for nonlinear elliptic problems involving critical Sobolev exponent
An existence theorem for a class of elliptic problems in L¹
We prove an existence result for solutions of some class of nonlinear elliptic problems having natural growth terms and L¹ data.
An existence theorem for a non-regular variational problem.
An existence theorem for a strongly nonlinear elliptic problem in Musielak-Orlicz spaces
We prove an existence result for some class of strongly nonlinear elliptic problems in the Musielak-Orlicz spaces , under the assumption that the conjugate function of φ satisfies the Δ₂-condition.
An existence theorem for the Yamabe problem on manifolds with boundary
Let be a compact Riemannian manifold with boundary. We consider the problem (first studied by Escobar in 1992) of finding a conformal metric with constant scalar curvature in the interior and zero mean curvature on the boundary. Using a local test function construction, we are able to settle most cases left open by Escobar’s work. Moreover, we reduce the remaining cases to the positive mass theorem.
An explicit formula for symmetric polynomials related to the eigenfunctions of Calogero-Sutherland models.
An explicit potential theory for the stokes resolvent boundary value problems in three dimensions.
An extension of a multiplicity theorem by Ricceri with an application to a class of quasilinear equations
A recent multiplicity result by Ricceri, stated for equations in Hilbert spaces, is extended to a wider class of Banach spaces. Applications to nonlinear boundary value problems involving the p-Laplacian are presented.
An Extrerior Mixed Boundary Value Problem for the Helmholtz Equation
An Hadamard maximum principle for the biplacian on hyperbolic manifolds
We prove the existence of a maximum principle for operators of the type , for weights with subharmonic. It is associated with certain simply connected subdomains that are produced by a Hele-Shaw flow emanating from a given point in the domain. For constant weight, these are the circular disks in the domain. The principle is equivalent to the following statement. THEOREM. Suppose is logarithmically subharmonic on the unit disk, and that the weight times area measure is a reproducing measure...
An incomplete-factorization preconditioning using repeated red-black ordering.
An incorrectly posed problem for nonlinear elliptic equations.
An index formula for the degree of (S)-mappings associated with one-dimensional -Laplacian.
An inequality which arises in the absence of the mountain pass geometry.
An infinite-harmonic analogue of a Lelong theorem and infinite-harmonicity cells.
An integral equation technique for solving mixed boundary value problems
An integral estimate for weak solutions to some quasilinear elliptic systems
We prove an integral estimate for weak solutions to some quasilinear elliptic systems; such an estimate provides us with the following regularity result: weak solutions are bounded.