Multiple semiclassical solutions of the Schrödinger equation involving a critical Sobolev exponent.
Multiple solutions for a elliptic system in exterior domain.
Multiple solutions for nonlinear discontinuous elliptic problems near resonance
We consider a quasilinear elliptic eigenvalue problem with a discontinuous right hand side. To be able to have an existence theory, we pass to a multivalued problem (elliptic inclusion). Using a variational approach based on the critical point theory for locally Lipschitz functions, we show that we have at least three nontrivial solutions when from the left, being the principal eigenvalue of the p-Laplacian with the Dirichlet boundary conditions.
Multiple solutions for nonlinear discontinuous strongly resonant elliptic problems.
Multiple solutions for singularly perturbed semilinear elliptic equations in bounded domains.
Multiple Solutions for Some Semilinear Elliptic Equations.
Multiple solutions of a nonlinear elliptic equation involving Neumann conditions and a critical Sobolev exponent
Multiple solutions of a Schrödinger type semilinear equation
Two nontrivial solutions are obtained for nonhomogeneous semilinear Schrödinger equations.
Multiple solutions of a semilinear elliptic equation in
Multiple solutions of -Laplacian with Neumann and Robin boundary conditions for both resonance and oscillation problem.
Multiple solutions of quasilinear elliptic equations in .
Multiple tunnelings in d-dimensions : a quantum particle in a hierarchical potential
Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces
We prove two explicit bounds for the multiplicities of Steklov eigenvalues on compact surfaces with boundary. One of the bounds depends only on the genus of a surface and the index of an eigenvalue, while the other depends as well on the number of boundary components. We also show that on any given Riemannian surface with smooth boundary the multiplicities of Steklov eigenvalues are uniformly bounded in .
Multiplicity of positive and nodal solutions for nonhomogeneous elliptic problems in unbounded cylinder domains.
Multiplicity of positive solutions for a Navier boundary-value problem involving the -biharmonic with critical exponent.
Multiplicity of positive solutions for second order quasilinear equations
We discuss the existence and multiplicity of positive solutions for a class of second order quasilinear equations. To obtain our results we will use the Ekeland variational principle and the Mountain Pass Theorem.
Multiplicity of positive solutions to semilinear elliptic boundary value problems.
Multiplicity of solutions for a quasilinear problem with supercritical growth.
Multiplicity of solutions for a singular p-laplacian elliptic equation
The existence of two continuous solutions for a nonlinear singular elliptic equation with natural growth in the gradient is proved for the Dirichlet problem in the unit ball centered at the origin. The first continuous solution is positive and maximal; it is obtained via the regularization method. The second continuous solution is zero at the origin, and follows by considering the corresponding radial ODE and by sub-sup solutions method.
Multiplicity of solutions for gradient systems using Landesman-Lazer conditions.