Multiphase free boundary problem for the equations of motion of general fluids
Multiphoton response of retinal rod photoreceptors.
Multiple boundary peak solutions for some singularly perturbed Neumann problems
Multiple clustered layer solutions for semilinear Neumann problems on a ball
Multiple convex hypersurfaces with prescribed mean curvature
Multiple critical points of perturbed symmetric strongly indefinite functionals
Multiple end solutions to the Allen-Cahn equation in
An entire solution of the Allen-Cahn equation , where is an odd function and has exactly three zeros at and , e.g. , is called a end solution if its nodal set is asymptotic to half lines, and if along each of these half lines the function looks (up to a multiplication by ) like the one dimensional, odd, heteroclinic solution , of . In this paper we present some recent advances in the theory of the multiple end solutions. We begin with the description of the moduli space of such solutions....
Multiple existence and stability of steady-states for a prey-predator system with cross-diffusion
This article discusses a prey-predator system with cross-diffusion. We obtain multiple positive steady-state solutions of this system. More precisely, we prove that the set of positive steady-states possibly contains an S or ⊃-shaped branch with respect to a bifurcation parameter in the large cross-diffusion case. Next we give some criteria on the stability of these positive steady-states. Furthermore, we find the Hopf bifurcation point on the steady-state solution branch in a certain case. Our...
Multiple Picard's method for the Stiff nonlinear two-point boundary value problems
Multiple positive solutions for a class of concave-convex semilinear elliptic equations in unbounded domains with sign-changing weights.
Multiple positive solutions for a class of quasilinear elliptic boundary-value problems.
Multiple positive solutions for a critical quasilinear equation via Morse theory
Multiple positive solutions for a p-Laplace critical problem (p >1), via Morse theory
Multiple positive solutions for a singular elliptic equation with Neumann boundary condition in two dimensions.
Multiple positive solutions for equations involving critical Sobolev exponent in .
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 positive solutions for singularly perturbed elliptic problems in exterior domains
Multiple positive solutions of nonhomogeneous elliptic equations in unbounded domains.
Multiple positive solutions of semilinear elliptic problems in exterior domains.