Moyennes de solutions d'équations aux dérivées partielles
Multi-bump ground states of the Gierer–Meinhardt system in R2
Multibump solutions and asymptotic expansions for mesoscopic Allen-Cahn type equations
We consider a mesoscopic model for phase transitions in a periodic medium and we construct multibump solutions. The rational perturbative case is dealt with by explicit asymptotics.
Multibump solutions and asymptotic expansions for mesoscopic Allen-Cahn type equations
We consider a mesoscopic model for phase transitions in a periodic medium and we construct multibump solutions. The rational perturbative case is dealt with by explicit asymptotics.
Multi-bump solutions for nonlinear Schrödinger equations with electromagnetic fields
In this paper, we are concerned with the existence of multi-bump solutions for a nonlinear Schrödinger equations with electromagnetic fields. We prove under some suitable conditions that for any positive integer m, there exists ε(m) > 0 such that, for 0 < ε < ε(m), the problem has an m-bump complex-valued solution. As a result, when ε → 0, the equation has more and more multi-bump complex-valued solutions.
Multi-bump type nodal solutions having a prescribed number of nodal domains : II
Multi-bump type nodal solutions having a prescribed number of nodal domains : I
Multidimensional two-particles problem with non-central potential
Multiple boundary peak solutions for some singularly perturbed Neumann problems
Multiple clustered layer solutions for semilinear Neumann problems on a ball
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 positive solutions for a class of concave-convex semilinear elliptic equations in unbounded domains with sign-changing weights.
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 of nonhomogeneous elliptic equations in unbounded domains.
Multiple positive solutions of semilinear elliptic problems in exterior domains.
Multiple positive solutions of singular -Laplacian problems by variational methods.
Multiple radial solutions for a semilinear Dirichlet problem in a ball