Multiple positive solutions for quasilinear elliptic problems with sign-changing nonlinearities.
Multiple positive solutions for singular elliptic equations with concave-convex nonlinearities and sign-changing weights.
Multiple radial solutions for a semilinear Dirichlet problem in a ball
Multiple semiclassical solutions of the Schrödinger equation involving a critical Sobolev exponent.
Multiple solutions for a problem with resonance involving the -Laplacian.
Multiple solutions for inhomogeneous nonlinear elliptic problems arising in astrophyscs.
Multiple solutions for quasilinear elliptic problems with nonlinear boundary conditions.
Multiple solutions for semilinear elliptic boundary value problems at resonance.
Multiple solutions for the -Laplace equation with nonlinear boundary conditions.
Multiple solutions of a Schrödinger type semilinear equation
Two nontrivial solutions are obtained for nonhomogeneous semilinear Schrödinger equations.
Multiplicity and concentration behavior of positive solutions for a Schrödinger–Kirchhoff type problem via penalization method
In this paper we are concerned with questions of multiplicity and concentration behavior of positive solutions of the elliptic problem( P ε ) ℒ ε u = f ( u ) in IR 3 , u > 0 in IR 3 , u ∈ H 1 ( IR 3 ) , whereε is a small positive parameter, f : ℝ → ℝ is a continuous function,ℒ ε is a nonlocal operator defined byℒ ε u = M 1 ε ∫ IR 3 | ∇ u | 2 + 1 ε 3 ∫ IR 3 V ( x ) u 2 [ − ε 2 Δ u + V ( x ) u ] ,M : IR+ → IR+ and V : IR3 → IR are continuous functions which verify some hypotheses.
Multiplicity of positive and nodal solutions for nonlinear elliptic problems in
Multiplicity of positive solutions of nonlinear elliptic equations with critical sobolev exponent in some contractible domains.
Multiplicity of positive solutions to semilinear elliptic boundary value problems.
Multiplicity of solutions for a class of quasilinear problem in exterior domains with Neumann conditions.
Multiplicity of solutions for quasilinear elliptic problems involving critical Sobolev exponents
Multiplicity of solutions of nonlinear boundary value problems with nonlinearities crossing several higher eigenvalues.
Multiplicity results for a class of semilinear elliptic equations on
Multiplicity results for an inhomogeneous Neumann problem with critical exponent.
Multiplicity results for positive solutions to non-autonomous elliptic problems.