Existence of beam-equation solutions with strong damping and p(x)-biharmonic operator
Copyright policy )Existence of beam-equation solutions with strong damping and p(x)-biharmonic operator
In this paper, we consider a nonlinear beam equation with a strong damping and the p(x)-biharmonic operator. The exponent p(·) of nonlinearity is a given function satisfying some condition to be specified. Using Faedo-Galerkin method, the local and global existence of weak solutions is established with mild assumptions on the variable exponent p(·). This work improves and extends many other results in the literature.
- Jahrom University Iran (Islamic Republic of)
- University of Beira Interior Portugal
- Dicle University Turkey
- NOVAMath Center for Mathematics and Applications Portugal
- Universidade Federal Fluminense Brazil
variable exponent, weak solutions, QA1-939, Higher-order semilinear hyperbolic equations, beam equation, p(x)-biharmonic operator, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Weak solutions to PDEs, Mathematics, Initial-boundary value problems for higher-order hyperbolic equations, \(p(x)\)-biharmonic operator
variable exponent, weak solutions, QA1-939, Higher-order semilinear hyperbolic equations, beam equation, p(x)-biharmonic operator, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Weak solutions to PDEs, Mathematics, Initial-boundary value problems for higher-order hyperbolic equations, \(p(x)\)-biharmonic operator
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