Butakin, GulistanPis, Erhan2025-02-222025-02-2220240354-5180https://doi.org/10.2298/FIL2422871Bhttps://hdl.handle.net/11468/29605In this work concerned with the existence and blow up of solutions for m (x) - biharmonic equation with variable exponent sources. Under appropriate conditions, we discuss the stationary problem and potential wells. By using the Faedo-Galerkin method, we prove the global existence of the solution. We also investigate the blow up of solutions with negative initial energy.eninfo:eu-repo/semantics/closedAccessm(x)- Biharmonic equationenergyexistenceglobal existenceSobolev spacesvariable exponentArticle382278717893WOS:0013727367000012-s2.0-8521120158410.2298/FIL2422871BQ3Q2