A discontinuous problem involving the p-Laplacian operator and critical exponent in ℝN

Alves, ClaudianorBertone, Ana Maria2020-11-182020-11-182003-04-16Alves, 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. 1-10.1072-6691https://hdl.handle.net/10877/12940Using convex analysis, we establish the existence of at least two nonnegative solutions for the quasilinear problem -Δpu = H(u - α)up*-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.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalVariational methodsDiscontinuous nonlinearitiesCritical exponentsA discontinuous problem involving the p-Laplacian operator and critical exponent in ℝNArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.