Multiple solutions of a nonlinear elliptic equation involving Neumann conditions and a critical Sobolev exponent
On the Neumann problem for an elliptic system of equations involving the critical Sobolev exponent
We consider the Neumann problem for an elliptic system of two equations involving the critical Sobolev nonlinearity. Our main objective is to study the effect of the coefficient of the critical Sobolev nonlinearity on the existence and nonexistence of least energy solutions. As a by-product we obtain a new weighted Sobolev inequality.
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.
Multiple solutions of a Schrödinger type semilinear equation
Two nontrivial solutions are obtained for nonhomogeneous semilinear Schrödinger equations.
Nontrivial solutions of semilinear elliptic systems in .
Positive solutions of an obstacle problem
Multiple solutions of semilinear elliptic systems
We obtain in this paper a multiplicity result for strongly indefinite semilinear elliptic systems in bounded domains as well as in .
On shape and multiplicity of solutions for a singularly perturbed Neumann problem
We investigate the effect of the topology of the boundary ∂Ω and of the graph topology of the coefficient Q on the number of solutions of the nonlinear Neumann problem .
Multiple semiclassical solutions of the Schrödinger equation involving a critical Sobolev exponent.
Multiple solutions for nonlinear elliptic equations on Riemannian manifolds.
Asymptotic behavior of ground state solution for Hénon type systems.
Critical Neumann problem for nonlinear elliptic systems in exterior domains.
Existence results for strongly indefinite elliptic systems.
Multiple solutions for a elliptic system in exterior domain.
On a variational approach to existence and multiplicity results for semipositone problems.
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