Elliptic resonant problems at higher eigenvalues with an unbounded nonlinear term

DOI10.1006/jdeq.1998.3411zbMath0908.35043OpenAlexW2031439488MaRDI QIDQ1265116

Chun-Lei Tang, Qi-Ju Gao

Publication date: 27 January 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3411

zbMATH Keywords

generalized mountain pass theoremsaddle point theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)

Related Items (12)

Infinitely many solutions for resonant cooperative elliptic systems with sublinear or superlinear terms ⋮ Nontrivial solutions of a semilinear elliptic problem via variational methods ⋮ 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 nontrivial solutions of resonant cooperative elliptic systems with superlinear terms ⋮ Multiplicity results for semilinear resonant elliptic problems with discontinuous nonlinearities ⋮ Multiple solutions for resonant elliptic equations via local linking theory and Morse theory ⋮ Existence of critical point for abstract resonant problems with unbounded nonlinearities and applications to differential equations ⋮ Multiplicity results for some elliptic systems near resonance with a nonprincipal eigenvalue ⋮ Some existence theorems for elliptic resonant problems. ⋮ Ground state solutions for resonant cooperative elliptic systems with general superlinear terms ⋮ Infinitely many solutions for cooperative elliptic systems with odd nonlinearity

Cites Work

• Unnamed Item
• On the solvability of some elliptic partial differential equations with the linear part at resonance
• Multiplicity results for semilinear elliptic problems at resonance and with jumping nonlinearities
• Asymptotically linear elliptic equations without nonresonance conditions
• On a class of resonant problems at higher eigenvalues
• A general approach to solvability conditions for semilinear elliptic boundary value problems at resonance
• Linking theorems and applications to semilinear elliptic problems at resonance
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Critical point theory for asymptotically quadratic functionals and applications to problems with resonance

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