Concentration-compactness principle 8 Variable exponent spaces 4 CONCENTRATION COMPACTNESS PRINCIPLE 3 CRITICAL EXPONENT 3 ESPACIOS DE EXPONENTE VARIABLE 3 EXPONENTE CRITICO 3 INMERSIONES DE SOBOLEV 3 PRINCIPIO DE COMPACIDAD POR CONCENTRACION 3 SOBOLEV EMBEDDINGS 3 VARIABLE EXPONENT SPACES 3 Asymptotic analysis 2 Critical exponent 2 Existence of Solutions 2 Fractional elliptic-type problems 2 Mountain pass theorem 2 Nontrivial solution 2 Sobolev embedding 2 Sobolev spaces 2 Unbounded domains 2 Variable exponent Sobolev space 2 Variable exponents 2 concentration compactness 2 critical exponents 2 variable exponents 2