Existence of solutions to Δλ-Laplace equations without the Ambrosetti–Rabinowitz condition

Cung The Anh, Bui Kim My · Complex Variables and Elliptic Equations · 2015

We study the existence of nontrivial weak solutions for the following boundary value problemwhere is a bounded domain in , is a strongly degenerate elliptic operator, the nonlinearity is subcritical growth and does not satisfy the Ambrosetti–Rabinowitz (AR) condition.

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