Existence of solutions for \((p(y),q(y))\)-Laplacian elliptic problem on an exterior domain

Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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Existence of solutions for \(p(x)\)-Laplacian problem on an unbounded domain
Existence and nonexistence results for m-Laplace equations involving critical Sobolev exponents
Hölder continuity of minimizers of functionals with variable growth exponent
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Electrorheological fluids: modeling and mathematical theory
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The quasi-minimizer of integral functionals with \(m(x)\) growth conditions
A weak solution for a \((p(x),q(x))\)-Laplacian elliptic problem with a singular term
On problems driven by the \((p(\cdot),q(\cdot))\)-Laplace operator
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Nonlinear p-Laplacian Problems on Unbounded Domains
Hölder continuity of the gradient of p(x)-harmonic mappings
OnL^p(x)norms
Existence of multiple non-trivial solutions for nonlinear p-Laplacian problems on ℝ^N
Sobolev embeddings with variable exponent
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Variational and topological methods for Dirichlet problems with \(p\)-Laplacian
Mountain pass solutions to equations with subcritical Musielak-Orlicz-Sobolev growth
Weak solutions for double phase problem driven by the (p(x),q(x))-Laplacian operator under Dirichlet boundary conditions

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