20.500.12556/RUL-111106 On a ▫$p(\cdot)$▫-biharmonic problem with no-flux boundary condition The study of fourth order partial differential equations has flourished in the last years, however, a ▫$p(\cdot)$▫-biharmonic problem with no-flux boundary condition has never been considered before, not even for constant ▫$p$▫. This is an important step further, since surfaces that are impermeable to some contaminants are appearing quite often in nature, hence the significance of such boundary condition. By relying on several variational arguments, we obtain the existence and the multiplicity of weak solutions to our problem. We point out that, although we use a mountain pass type theorem in order to establish the multiplicity result, we do not impose an Ambrosetti-Rabinowitz type condition, nor a symmetry condition, on our nonlinearity ▫$f$▫. variable exponent new variable exponent subspace ▫$p(\cdot)$▫-biharmonic operator nonlinear elliptic problem weak solutions existence multiplicity true false true Angleški jezik Ni določen Članek v reviji 2019-09-24 10:00:16 2019-09-24 10:00:18 2022-08-23 03:40:50 0000-00-00 00:00:00 2016 0 0 Str. 2505-2515 iss. 9 Vol. 72 2016 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.956 0898-1221 http://dx.doi.org/10.1016/j.camwa.2016.09.017 17789785 15336965 RAZ_Boureanu_Maria-Magdalena_i2016.pdf RAZ_Boureanu_Maria-Magdalena_i2016.pdf 1 58EFC624860F931E169EAC1C5CB0A23A eaddaf9256f0d7d8956fe1bcf41ff4dc6ccc3812660ed0caa23541d47dc65d84 4e175117-a1b7-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=122914 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0