Sign changing solutions for coupled critical elliptic equations

DOI10.1155/2020/9841640zbMath1437.35277OpenAlexW3006171009MaRDI QIDQ2305199

Xin Wang, Xiaorui Yue

Publication date: 10 March 2020

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/9841640

zbMATH Keywords

critical exponentexistence of a solutioncoupled elliptic system

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

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• An optimal constant for the existence of least energy solutions of a coupled Schrödinger system
• Sign-changing solutions of competition-diffusion elliptic systems and optimal partition problems
• On the Brezis-Nirenberg problem in a ball.
• On the least energy sign-changing solutions for a nonlinear elliptic system
• Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case
• Positive ground state solutions and multiple nontrivial solutions for coupled critical elliptic systems
• Bound states for a coupled Schrödinger system
• A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system
• Radial solutions and phase separation in a system of two coupled Schrödinger equations
• Multipulse phases in k-mixtures of Bose-Einstein condensates
• A note on the problem \(-\Delta u=\lambda u+u\,| u| ^{2^*-2}\)
• An existence result for nonliner elliptic problems involving critical Sobolev exponent
• On the solvability of some elliptic partial differential equations with the linear part at resonance
• Best constant in Sobolev inequality
• Problèmes isoperimetriques et espaces de Sobolev
• Some existence results for superlinear elliptic boundary value problems involving critical exponents
• Nehari's problem and competing species systems.
• Minimax theorems
• On vector solutions for coupled nonlinear Schrödinger equations with critical exponents
• Dual variational methods in critical point theory and applications
• A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system
• Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
• Asymptotic estimates for the spatial segregation of competitive systems
• Spikes in two coupled nonlinear Schrödinger equations
• Remarks on a Brezis-Nirenberg's result
• Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
• Multiple sign-changing and semi-nodal solutions for coupled Schrödinger equations
• Infinitely many sign-changing and semi-nodal solutions for a nonlinear Schrödinger system
• Sign-changing Solutions and Phase Separation for an Elliptic System with Critical Exponent
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Uniform Hölder Bounds for Nonlinear Schrödinger Systems with Strong Competition
• INFINITELY MANY NODAL SOLUTIONS FOR A WEAKLY COUPLED NONLINEAR SCHRÖDINGER SYSTEM
• Existence and bounds of positive solutions for a nonlinear Schrödinger system
• Standing waves of some coupled nonlinear Schrödinger equations

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