Existence of solutions for $p(x)$-Laplacian elliptic BVPs on a variable Sobolev space via fixed point theorems

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Existence and uniqueness of positive solutions for singular biharmonic elliptic systems
Existence of solutions of elliptic boundary value problems with mixed type nonlinearities
On the sub-supersolution method for $p(x)$-Laplacian equations
On a sub-supersolution method for variational inequalities with Leray-Lions operators in variable exponent spaces
Electrorheological fluids: modeling and mathematical theory
Variational approaches to $P(X)$-Laplacian-like problems with Neumann condition originated from a capillary phenomena
Harnack inequality for a class of functionals with non-standard growth via De Giorgi's method
Some existence results for superlinear elliptic boundary value problems involving critical exponents
Existence results for second-order boundary-value problems with variable exponents
Perturbed Kirchhoff-type Neumann problems in Orlicz-Sobolev spaces
On a weighted elliptic equation of $N$-Kirchhoff type with double exponential growth
A weak solution for a $(p(x),q(x))$-Laplacian elliptic problem with a singular term
Stability analysis of a nonlinear coupled implicit switched singular fractional differential system with $p$-Laplacian
Multiple solutions for nonlocal elliptic problems driven by $p(x)$-biharmonic operator
Existence and multiplicity of solutions for $p(x)$-Laplacian problem with Steklov boundary condition
On optimal $C^{1 , \alpha}$ estimates for $p ( x )$-Laplace type equations
Potential well method for $p ( x )$-Laplacian equations with variable exponent sources
A coupled $p$-Laplacian elliptic system: existence, uniqueness and asymptotic behavior
Variable exponent $p(x)$-Kirchhoff type problem with convection
An elliptic resonance problem with multiple solutions
𝑝(𝑥)-Laplacian with indefinite weight
AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
Über konjugierte Exponentenfolgen
Local Hölder estimates for non-uniformly variable exponent elliptic equations in divergence form
Multiple solutions for Kirchhoff‐type problems with variable exponent and nonhomogeneous Neumann conditions
Existence and multiplicity of solutions for ‐Laplacian equations in
Nonhomogeneousp(x)-Laplacian Steklov problem with weights
Fixed Point Theory for Lipschitzian-type Mappings with Applications
Existence of positive solutions for nonlocal and nonvariational elliptic systems
Implicit elliptic equations via Krasnoselskii–Schaefer type theorems
Mathematical modeling of electrorheological materials
Sobolev embedding theorems for spaces $W^{k,p(x)}(\Omega)$
On the spaces $L^{p(x)}(\Omega)$ and $W^{m,p(x)}(\Omega)$
Entire weak solutions for an anisotropic equation in the Heisenberg group
Solutions to a $(p(x),q(x))$-biharmonic elliptic problem on a bounded domain
A positive solution for a weighted $p$-Laplace equation with Hardy-Sobolev's critical exponent
Three Weak Solutions for a Class of $$\boldsymbol{p(x)}$$-Kirchhoff Type Biharmonic Problems

This page was built for publication: Existence of solutions for $p(x)$-Laplacian elliptic BVPs on a variable Sobolev space via fixed point theorems

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6550195)

Existence of solutions for \(p(x)\)-Laplacian elliptic BVPs on a variable Sobolev space via fixed point theorems