Solutions to indefinite weakly coupled cooperative elliptic systems
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Publication:2156722
DOI10.12775/TMNA.2020.052zbMath1497.35171arXiv2003.12343MaRDI QIDQ2156722
Publication date: 20 July 2022
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.12343
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)
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Cites Work
- New existence and symmetry results for least energy positive solutions of Schrödinger systems with mixed competition and cooperation terms
- Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case
- On elliptic systems with Sobolev critical growth
- Spiked solutions for Schrödinger systems with Sobolev critical exponent: the cases of competitive and weakly cooperative interactions
- Ground state solutions for a semilinear problem with critical exponent.
- Periodic nonlinear Schrödinger equation with application to photonic crystals
- Ground state solutions for some indefinite variational problems
- Lower-order perturbations of critical growth nonlinearities in semilinear elliptic equations
- Minimax theorems
- Multiple solutions to a weakly coupled purely critical elliptic system in bounded domains
- Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
