On a Hamiltonian system with critical exponential growth
DOI10.1007/s00032-019-00294-3zbMath1464.35099OpenAlexW2922940681WikidataQ115609404 ScholiaQ115609404MaRDI QIDQ2002082
Yony R. Santaria Leuyacc, Sérgio H. M. Soares
Publication date: 11 July 2019
Published in: Milan Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00032-019-00294-3
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods for elliptic systems (35J50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47)
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Cites Work
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- Hamiltonian elliptic systems in \(\mathbb R^2\) with subcritical and critical exponential growth
- Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces
- Sharp singular Adams inequalities in high order Sobolev spaces
- Existence of solitary waves for supercritical Schrödinger systems in dimension two
- On a quasilinear nonhomogeneous elliptic equation with critical growth in \(\mathbb R^N\)
- Lorentz-Sobolev spaces and systems of Schrödinger equations in \(\mathbb R^N\)
- Elliptic systems involving critical growth in dimension two
- Existence of solution for a nonvariational elliptic system with exponential growth in dimension two
- Moser-type inequalities in Lorentz spaces
- On a singular Hamiltonian elliptic systems involving critical growth in dimension two
- On a class of Hamiltonian systems with Trudinger-Moser nonlinearities
- Differential systems with strongly indefinite variational structure
- An Orlicz-space approach to superlinear elliptic systems
- On L(p,q) spaces
- Uniform convexity in function spaces
- On a class of Hamiltonian elliptic systems involving unbounded or decaying potentials in dimension two
- A Moser-type inequality in Lorentz–Sobolev spaces for unbounded domains in RN
- NONLINEAR SCHRÖDINGER EQUATIONS WITH UNBOUNDED AND DECAYING RADIAL POTENTIALS
- A note on limiting cases of sobolev embeddings and convolution inequalities
- A rellich type identity and applications
- On Superquadratic Elliptic Systems
- Hamiltonian elliptic systems in dimension two with potentials which can vanish at infinity
- A prioriestimates and positivity for semiclassical ground states for systems of critical Schrödinger equations in dimension two
- Singular Hamiltonian elliptic systems with critical exponential growth in dimension two
- Critical and subcritical elliptic systems in dimension two