@misc{10481/112433, year = {2026}, month = {6}, url = {https://hdl.handle.net/10481/112433}, abstract = {This paper investigates the Newton’s problem of minimal resistance for a body moving through a fluid whose density decreases exponentially with altitude. We prove the local existence and regularity of radial solutions u (r) satisfying the initial conditions u(0)=u(0)=0 using a fixed point theorem. We show that the maximal domain of the solution is finite, (0,rM), terminating at a critical slope u(rM)= 1V}, organization = {MINECO/MICINN/FEDER - (PID2023-150727NB-I00)}, organization = {MCINN/AEI/10.13039/ 501100011033 - (CEX2020-001105-M)}, publisher = {Elsevier}, keywords = {Newton problem}, keywords = {Minimum resistance}, keywords = {Banach fixed point theorem}, title = {The Newton’s problem assuming non-constant density of the fluid}, doi = {10.1016/j.aml.2026.109901}, author = {López Camino, Rafael}, }