00000caa a22000003i 4500 UP-1685594773862388321 Buklod 20210309175007.0 m | | ta 210309s2017 xx r |||| u|eng d (iLib)UPBAG-00039458323 STII-DOST BAG rda eng ARTICLE-2533 Beltran, Ryan James author. On the solvability of a class of a quasilinear elliptic partial differential equation by Ryan James Beltran, Bituin Cabarrubias and Marian Roque. 2017. pages 137-143 26 cm text rdacontent unmediated rdamedia volume rdacarrier Includes bibliographical references (pages 142-143) This paper considers a quasilinear elliptic problem posed on a two-component composite with a Dirichlet condition on the outer boundary and a jump condition of the solution on the interface. We establish the existence and uniqueness of a weak solution in some appropriate Sobolev space. We apply Schauder's fixed point theorem to prove the existence of the solution and impose some Lipschitz type conditions on the quasilinear term to show the uniqueness result. This work also exhibits an a priori estimate satisfied by the solution. (Author's abstract) Mathematics. Quasilinear elliptic problem. Stationary diffusion equation. Schauder\'s fixed point theorem. Two-component composite. Cabarrubias, Bituin author. Roque, Marian author. The Philippine Journal of Science Vol. 146, no. 2, June 2017. Request full-text access via UPB University Library through https://forms.gle/KZjBv7aRtY6jiL5E9 (viewed 09 March 2021) FI UPBAG UPBAG-MAIN ARTICLE-2533 Analytics