Search results for "Double resonance critical group"

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Robin problems with general potential and double resonance

2017

Abstract We consider a semilinear elliptic problem with Robin boundary condition and an indefinite and unbounded potential. The reaction term is a Caratheodory function exhibiting linear growth near ± ∞ . We assume that double resonance occurs with respect to any positive spectral interval. Using variational tools and critical groups, we show that the problem has a nontrivial smooth solution.

Regularity theoryIndefinite and unbounded potentialApplied Mathematics010102 general mathematicsMathematical analysisInterval (mathematics)Function (mathematics)Robin boundary condition01 natural sciencesResonance (particle physics)Robin boundary conditionTerm (time)010101 applied mathematicsDouble resonance critical groupSettore MAT/05 - Analisi Matematica0101 mathematicsLinear growthMathematicsApplied Mathematics Letters
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