On the extinction of the solution for an elliptic equation in a cylindrical domain
On the first curve in the Fučik spectrum with weights for a mixed -Laplacian.
On the fusion problem for degenerate elliptic equations II
Let be a relatively closed subset of a Euclidean domain . We investigate when solutions to certain elliptic equations on are restrictions of solutions on all of . Specifically, we show that if is not too large, and has a suitable decay rate near , then can be so extended.
On the ground states of vector nonlinear Schrödinger equations
On the Hénon equation : asymptotic profile of ground states, I
On the Hölder continuity of weak solutions of quasilinear elliptic systems of second order
On the iterative construction of a solution of nonlinear elliptic boundary value problems
On the -regularity of solutions of nonlinear elliptic equations in Orlicz spaces.
On the linearization of some singular, nonlinear elliptic problems and applications
On the Liouville property for fully nonlinear equations
On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth.
On the maximum principle for principal curvatures
The paper contains the estimates from above of the principal curvatures of the solution to some curvature equations. A correction of the author's previous argument is presented.
On the natural generalization of the natural conditions of Ladyzhenskaya and Ural'tseva
On the necessity of gaps
Recent papers have studied the existence of phase transition solutions for Allen–Cahn type equations. These solutions are either single or multi-transition spatial heteroclinics or homoclinics between simpler equilibrium states. A sufficient condition for the construction of the multitransition solutions is that there are gaps in the ordered set of single transition solutions. In this paper we explore the necessity of these gap conditions.
On the Nehari manifold for a logarithmic fractional Schrödinger equation with possibly vanishing potentials
We study a class of logarithmic fractional Schrödinger equations with possibly vanishing potentials. By using the fibrering maps and the Nehari manifold we obtain the existence of at least one nontrivial solution.
On the Neumann problem with combined nonlinearities
We establish the existence of multiple solutions of an asymptotically linear Neumann problem. These solutions are obtained via the mountain-pass principle and a local minimization.
On the nonlinear Neumann problem at resonance with critical Sobolev nonlinearity
We consider the Neumann problem for the equation , u ∈ H¹(Ω), where Q is a positive and continuous coefficient on Ω̅ and λ is a parameter between two consecutive eigenvalues and . Applying a min-max principle based on topological linking we prove the existence of a solution.
On the nonlinear Neumann problem involving the critical Sobolev exponent and Hardy potential.
In this paper we investigate the solvability of some Neumann problems involving the critical Sobolev and Hardy exponents.
On the nonlinear Neumann problem with critical and supercritical nonlinearities [Book]
On the number of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifolds.