POSITIVE GROUND STATE SOLUTION FOR KIRCHHOFF EQUATIONS WITH SUBCRITICAL GROWTH AND ZERO MASS

In this article, we study the Kirchhoff equation − “ a + b Z RN |∇u|dx ” ∆u = K(x)f(u), x ∈ R , u ∈ D(R ), where a > 0, b > 0 and N ≥ 3. Under suitable conditions on K and f , we obtain four existence results and two nonexistence results, using variational methods.

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