Article Contents
Article Contents

# Resonance and nonresonance for p-Laplacian problems with weighted eigenvalues conditions

• We study multiplicity of solutions for a quasilinear elliptic problem related to the $p$-Laplacian operator. Our assumptions rely on the first eigenvalue depending on a weight function. We treat both resonant and non-resonant cases.
Mathematics Subject Classification: Primary: 35J25; Secondary: 58E05.

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