Nontrivial solutions for resonant cooperative elliptic systems via computations of critical groups
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Publication:4261368
DOI10.1016/S0362-546X(98)00191-6zbMath0940.35074WikidataQ127343515 ScholiaQ127343515MaRDI QIDQ4261368
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Publication date: 10 July 2000
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50)
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Infinitely many solutions for resonant cooperative elliptic systems with sublinear or superlinear terms ⋮ Multiple solutions of superlinear cooperative elliptic systems at resonant ⋮ Asymptotically or super linear cooperative elliptic systems in the whole space ⋮ Nontrivial solutions for resonant cooperative elliptic systems via computations of the critical groups ⋮ Infinitely many weak solutions for a class of quasilinear elliptic systems ⋮ Existence and multiplicity results for some elliptic systems with discontinuous nonlinearities ⋮ On the coupled systems of second and fourth order elliptic equations. ⋮ Multiple sign-changing solutions to the Sturm-Liouville boundary value problem with resonance ⋮ Infinitely many nontrivial solutions of resonant cooperative elliptic systems with superlinear terms ⋮ Nontrivial periodic motions for resonant type asymptotically linear lattice dynamical systems ⋮ Nonexistence and multiplicity of solutions for nonlinear elliptic systems in \(\mathbb{R}^N\) ⋮ Multiple sign-changing solutions to semilinear elliptic resonant problems ⋮ Infinitely many solutions for resonance elliptic systems ⋮ Computations of critical groups and periodic solutions for asymptotically linear Hamiltonian systems ⋮ Ground state solutions for resonant cooperative elliptic systems with general superlinear terms ⋮ Infinitely many solutions for cooperative elliptic systems with odd nonlinearity
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