A discontinuous problem involving the p-Laplacian operator and critical exponent in ℝN
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Using convex analysis, we establish the existence of at least two nonnegative solutions for the quasilinear problem -Δpu = H(u - α)u p*-1 + λh(x) in ℝN where Δpu is the p-Laplacian operator, H is the Heaviside function, p* is the Sobolev critical exponent, and h is a positive function.
CitationAlves, C., & Bertone, A. M. (2003). A discontinuous problem involving the p-Laplacian operator and critical exponent in ℝN. Electronic Journal of Differential Equations, 2003(42), pp. 1-10.
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