Existence and blow up of solutions for m ( x )- biharmonic equation with variable exponent sources

被引：0

作者：

Butakin, Gulistan ^{[1
]}

Pis, Erhan ^{[2
]}

机构：

[1] Dicle Univ, Inst Nat & Appl Sci, Diyarbakir, Turkiye

[2] Dicle Univ, Dept Math, Diyarbakir, Turkiye

来源：

FILOMAT | 2024年 / 38卷 / 22期

关键词：

m(x)- Biharmonic equation; energy; existence; global existence; Sobolev spaces; variable exponent; 4TH-ORDER PARABOLIC EQUATION; TIME; GROWTH; ENERGY; SYSTEM; BOUNDS; MODEL;

D O I：

10.2298/FIL2422871B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：7871 / 7893

页数：23

共 38 条

[1] Aad G, 2023, EUR PHYS J C, V83, DOI 10.1140/epjc/s10052-023-11543-6
[2] BOUNDS FOR BLOW-UP SOLUTIONS OF A SEMILINEAR PSEUDO-PARABOLIC EQUATION WITH A MEMORY TERM AND LOGARITHMIC NONLINEARITY IN VARIABLE SPACE
Abita, Rahmoune
[J]. MATHEMATICA SCANDINAVICA, 2022, 128 (03) : 553 - 572
[3] Antontsev S, 2021, ELECTRON J DIFFER EQ
[4] Existence and non-existence of solutions for Timoshenko-type equations with variable exponents
Antontsev, Stanislav N.
Ferreira, Jorge
Piskin, Erhan
Siqueira Cordeiro, Sebastiao Martins
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 61
[5] Lower bounds for the blow-up time in a semilinear parabolic problem involving a variable source
Baghaei, Khadijeh
Ghaemi, Mohammad Bagher
Hesaaraki, Mahmoud
[J]. APPLIED MATHEMATICS LETTERS, 2014, 27 : 49 - 52
[6] A finite-time blow-up result for a class of solutions with positive initial energy for coupled system of heat equations with memories
Braik, Abdelkader
Miloudi, Yamina
Zennir, Khaled
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (04) : 1674 - 1682
[7] Brezis H, 2011, UNIVERSITEXT, P1
[8] FREE ENERGY OF A NONUNIFORM SYSTEM .1. INTERFACIAL FREE ENERGY
CAHN, JW
HILLIARD, JE
[J]. JOURNAL OF CHEMICAL PHYSICS, 1958, 28 (02) : 258 - 267
[9] Existence and multiplicity of solutions for a class of critical anisotropic elliptic equations of Schrodinger-Kirchhoff-type
Chems Eddine, Nabil
Nguyen, Phuong Duc
Ragusa, Maria Alessandra
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (16) : 16782 - 16801
[10] Generalized critical Kirchhoff-type potential systems with Neumann Boundary conditions
Chems Eddine, Nabil
Ragusa, Maria Alessandra
[J]. APPLICABLE ANALYSIS, 2022, 101 (11) : 3958 - 3988

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