Nontrivial solution for a nonlocal elliptic transmission problem in variable exponent Sobolev spaces
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Publication:624481
DOI10.1155/2010/385048zbMath1216.35162OpenAlexW2146604451WikidataQ58649836 ScholiaQ58649836MaRDI QIDQ624481
Bilal Cekic, Rabil Ayazoglu (Mashiyev)
Publication date: 9 February 2011
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/229221
Variational methods involving nonlinear operators (47J30) Equations involving nonlinear operators (general) (47J05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods applied to PDEs (35A15) Integro-partial differential equations (35R09)
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Existence and multiplicity of solutions for a class of nonlocal elliptic transmission systems, On a nonlocal elliptic system with transmission conditions, A transmission problem on \(\mathbb R^2\) with critical exponential growth, Unnamed Item
Cites Work
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- A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
- Infinitely many positive solutions for a \(p(x)\)-Kirchhoff-type equation
- Positive solutions for robin problem involving the \(p(x)\)-Laplacian
- Positive solutions for a nonlinear nonlocal elliptic transmission problem
- The transmission problem of viscoelastic waves
- Electrorheological fluids: modeling and mathematical theory
- Uniform decay of solution for wave equation of Kirchhoff type with nonlinear boundary damping and memory term
- On the variational principle
- Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
- Existence of solutions for a \(p(x)\)-Kirchhoff-type equation
- Linear and quasilinear elliptic equations
- On an elliptic equation of p-Kirchhoff type via variational methods
- AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
- Transmission problem in thermoelasticity with symmetry
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
