Zobrazeno 1 - 10
of 143
pro vyhledávání: '"Clapp, Monica"'
In this paper we consider a competitive weakly coupled elliptic system in which each species is attracted to a small region and repelled from its complement. In this setting, we establish the existence of infinitely many solutions and of a nonnegativ
Externí odkaz:
http://arxiv.org/abs/2407.20125
We study the existence and concentration of positive and nodal solutions to a Schr\"odinger equation in the presence of a shrinking self-focusing core of arbitrary shape. Via a suitable rescaling, the concentration gives rise to a limiting profile th
Externí odkaz:
http://arxiv.org/abs/2407.04830
We establish the existence of a solution to a nonlinear competitive Schr\"odinger system whose scalar potential tends to a positive constant at infinity with an appropriate rate. This solution has the property that all components are invariant under
Externí odkaz:
http://arxiv.org/abs/2404.04448
We establish the validity of a strong unique continuation property for weakly coupled elliptic systems, including competitive ones. Our proof exploits the system structure and uses Carleman estimates. We apply this result to obtain some nonexistence
Externí odkaz:
http://arxiv.org/abs/2401.04041
We establish the existence of an optimal partition for the Yamabe equation in the whole space made up of mutually linearly isometric sets, each of them invariant under the action of a group of linear isometries. To do this, we establish the existence
Externí odkaz:
http://arxiv.org/abs/2309.00784
We consider a weakly coupled singularly perturbed variational elliptic system in a bounded smooth domain with Dirichlet boundary conditions. We show that, in the competitive regime, the number of fully nontrivial solutions with nonnegative components
Externí odkaz:
http://arxiv.org/abs/2306.12580
We show that the components of finite energy solutions to general nonlinear Schr\"odinger systems have exponential decay at infinity. Our results apply to positive or sign-changing components, and to cooperative, competitive, or mixed-interaction sys
Externí odkaz:
http://arxiv.org/abs/2301.11245
Autor:
Clapp, Mónica, Pistoia, Angela
We establish the existence of positive segregated solutions for competitive nonlinear Schr\"odinger systems in the presence of an external trapping potential, which have the property that each component is obtained from the previous one by a rotation
Externí odkaz:
http://arxiv.org/abs/2301.07000
We give an upper bound for the least energy of a sign-changing solution to the the nonlinear scalar field equation $$-\Delta u = f(u), \qquad u\in D^{1,2}(\mathbb{R}^{N}),$$ where $N\geq5$ and the nonlinearity $f$ is subcritical at infinity and super
Externí odkaz:
http://arxiv.org/abs/2209.10706
Autor:
Clapp, Mónica, Soares, Mayra
We study the system of semilinear elliptic equations $$-\Delta u_i+ u_i = \sum_{j=1}^\ell \beta_{ij}|u_j|^p|u_i|^{p-2}u_i, \qquad u_i\in H^1(\mathbb{R}^N),\qquad i=1,\ldots,\ell,$$ where $N\geq 4$, $1
Externí odkaz:
http://arxiv.org/abs/2207.00498