A simple variational approach to weakly coupled competitive elliptic systems
From MaRDI portal
Publication:2316075
DOI10.1007/s00030-019-0572-8zbMath1422.35043arXiv1901.10865OpenAlexW2920933072WikidataQ127557439 ScholiaQ127557439MaRDI QIDQ2316075
Publication date: 26 July 2019
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.10865
Variational methods for elliptic systems (35J50) Second-order elliptic systems (35J47) Entire solutions to PDEs (35B08)
Related Items
Non-variational weakly coupled elliptic systems ⋮ Least energy positive solutions of critical Schrödinger systems with mixed competition and cooperation terms: the higher dimensional case ⋮ Liouville theorem and a priori estimates of radial solutions for a non-cooperative elliptic system ⋮ Solutions to a cubic Schrödinger system with mixed attractive and repulsive forces in a critical regime ⋮ Segregated solutions for some non-linear Schrödinger systems with critical growth ⋮ Existence of positive solutions to critical Schrödinger system with mixed interactions in \(\mathbb{R}^3\) ⋮ Ground state solution of weakly coupled time-harmonic Maxwell equations ⋮ Coupled and uncoupled sign-changing spikes of singularly perturbed elliptic systems ⋮ Infinitely many nonradial positive solutions for multi-species nonlinear Schrödinger systems in \(\mathbb{R}^N\) ⋮ Least energy positive solutions for \(d\)-coupled Schrödinger systems with critical exponent in dimension three ⋮ Optimal uniform bounds for competing variational elliptic systems with variable coefficients ⋮ Equivariant solutions to the optimal partition problem for the prescribed \(Q\)-curvature equation ⋮ Segregated solutions for a critical elliptic system with a small interspecies repulsive force ⋮ Critical polyharmonic systems and optimal partitions ⋮ Yamabe systems and optimal partitions on manifolds with symmetries ⋮ Positive least energy solutions for \(k\)-coupled Schrödinger system with critical exponent: the higher dimension and cooperative case ⋮ Fully nontrivial solutions to elliptic systems with mixed couplings ⋮ Synchronized and ground-state solutions to a coupled Schrödinger system ⋮ Existence of least energy positive solutions to critical Schrödinger systems in \(\mathbb{R}^3\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sign-changing solutions for coupled nonlinear Schrödinger equations with critical growth
- Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case
- Spiked solutions for Schrödinger systems with Sobolev critical exponent: the cases of competitive and weakly cooperative interactions
- Ground state solutions for some indefinite variational problems
- On a conformally invariant elliptic equation on \(R^ n\)
- Existence and phase separation of entire solutions to a pure critical competitive elliptic system
- Nehari's problem and competing species systems.
- Minimax theorems
- Sign-changing solutions of an elliptic system with critical exponent in dimension \(N= 5 \)
- A fountain of positive bubbles on a Coron's problem for a competitive weakly coupled gradient system
- Multiple solutions to weakly coupled supercritical elliptic systems
- On existence and phase separation of solitary waves for nonlinear Schrödinger systems modelling simultaneous cooperation and competition
- Multiple solutions to a weakly coupled purely critical elliptic system in bounded domains
- Entire nonradial solutions for non-cooperative coupled elliptic system with critical exponents in \(\mathbb R^3\)
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- On Coron's problem for weakly coupled elliptic systems
- Multiple positive solutions of elliptic systems in exterior domains
This page was built for publication: A simple variational approach to weakly coupled competitive elliptic systems
