A discontinuous problem involving the p-Laplacian operator and critical exponent in ℝN
dc.contributor.author | Alves, Claudianor | |
dc.contributor.author | Bertone, Ana Maria | |
dc.date.accessioned | 2020-11-18T16:24:53Z | |
dc.date.available | 2020-11-18T16:24:53Z | |
dc.date.issued | 2003-04-16 | |
dc.description.abstract | Using 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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 10 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Alves, C., & Bertone, A. M. (2003). A discontinuous problem involving the p-Laplacian operator and critical exponent in ℝN. <i>Electronic Journal of Differential Equations, 2003</i>(42), pp. 1-10. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/12940 | |
dc.language.iso | en | |
dc.publisher | Southwest Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
dc.subject | Variational methods | |
dc.subject | Discontinuous nonlinearities | |
dc.subject | Critical exponents | |
dc.title | A discontinuous problem involving the p-Laplacian operator and critical exponent in ℝN | |
dc.type | Article |