Article detail · 2024 · article
Existence and Blow up of Solutions for m(x)-Biharmonic equation with Variable Exponent Sources
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Abstract
In 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.
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9citationsOpenAlex · cited_by_count (cache / database)
5 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- 2024 Blow up of solutions for a fourth-order reaction-diffusion equation in variable-exponent Sobolev spacesCitations 6 · OpenAlex
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- 2025 Qualitative analysis of solutions for a parabolic m(x)- biharmonic equation with logarithmic nonlinearityCitations 0 · OpenAlex